Publication Cover
Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 11
766
Views
57
CrossRef citations to date
0
Altmetric
Articles

Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

, , &
Pages 2241-2253 | Received 25 Jul 2012, Accepted 03 Sep 2012, Published online: 27 Sep 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Muhammad Samraiz, Tahira Atta, Saima Naheed, Thabet Abdeljawad & Muhammad Tanveer Ghaffar. (2024) A novel class of integral inequalities with graphical approach and diverse applications. Mathematical and Computer Modelling of Dynamical Systems 30:1, pages 156-178.
Read now
Kee Qiu & Jin Rong Wang. (2018) A fractional integral identity and its application to fractional Hermite-Hadamard type inequalities. Journal of Interdisciplinary Mathematics 21:1, pages 1-16.
Read now
Zeng Lin & Jin Rong Wang. (2017) New Riemann-Liouville fractional Hermite-Hadamard inequalities via two kinds of convex functions. Journal of Interdisciplinary Mathematics 20:2, pages 357-382.
Read now

Articles from other publishers (54)

Muhammad Samraiz, Muhammad Tanveer Ghaffar, Saima Naheed & Miguel Vivas-Cortez. (2024) Fractional integral inequalities and error estimates of generalized mean differences. Alexandria Engineering Journal 94, pages 172-192.
Crossref
Jeet B. Gajera & Ranjan Kumar Jana. (2024) Fractional integral inequalities for the s -(κ, H )-convex function . Analysis 0:0.
Crossref
Miguel Vivas-Cortez, Sofia Ramzan, Muhammad Uzair Awan, Muhammad Zakria Javed, Awais Gul Khan & Muhammad Aslam Noor. (2023) I.V-CR-γ-Convex Functions and Their Application in Fractional Hermite–Hadamard Inequalities. Symmetry 15:7, pages 1405.
Crossref
Muhammad Tariq, Sotiris K. Ntouyas & Asif Ali Shaikh. (2023) A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators. Mathematics 11:8, pages 1953.
Crossref
Muhammad Bilal Khan, Adriana Cătaş, Najla Aloraini & Mohamed S. Soliman. (2023) Some New Versions of Fractional Inequalities for Exponential Trigonometric Convex Mappings via Ordered Relation on Interval-Valued Settings. Fractal and Fractional 7:3, pages 223.
Crossref
Muhammad Samraiz, Fakhra Nawaz, Shanhe Wu, Sajid Iqbal & Artion Kashuri. (2023) On the novel Hermite-Hadamard inequalities for composite inverse functions. Filomat 37:9, pages 2995-3008.
Crossref
. 2023. Stability and Controls Analysis for Delay Systems. Stability and Controls Analysis for Delay Systems 307 312 .
JinRong Wang, Michal Fečkan & Mengmeng Li. 2023. Stability and Controls Analysis for Delay Systems. Stability and Controls Analysis for Delay Systems 1 4 .
Meryem Chaouche & Toufik Guendouzi. (2022) Stochastic differential inclusions with Hilfer fractional derivative. Annals of the University of Craiova, Mathematics and Computer Science Series 49:1, pages 158-173.
Crossref
Ohud Almutairi & Adem Kılıçman. (2022) A Review of Hermite–Hadamard Inequality for α-Type Real-Valued Convex Functions. Symmetry 14:5, pages 840.
Crossref
Muhammad Samraiz, Zahida Perveen, Gauhar Rahman, Muhammad Adil Khan & Kottakkaran Sooppy Nisar. (2022) Hermite-Hadamard Fractional Inequalities for Differentiable Functions. Fractal and Fractional 6:2, pages 60.
Crossref
Fatma Ertuğral, Mehmet SarikayaZekiZeki & Hüseyin Budak. (2022) On Hermite-Hadamard type inequalities associated with the generalized fractional integrals. Filomat 36:12, pages 3981-3993.
Crossref
Shanhe Wu, Sajid Iqbal, Muhammad Aamir, Muhammad Samraiz & Awais Younus. (2021) On some Hermite–Hadamard inequalities involving k-fractional operators. Journal of Inequalities and Applications 2021:1.
Crossref
Soubhagya Kumar Sahoo, Muhammad Tariq, Hijaz Ahmad, Ayman A. Aly, Bassem F. Felemban & Phatiphat Thounthong. (2021) Some Hermite–Hadamard-Type Fractional Integral Inequalities Involving Twice-Differentiable Mappings. Symmetry 13:11, pages 2209.
Crossref
YONGFANG QI & GUOPING LI. (2021) NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS. Fractals 29:07.
Crossref
Soubhagya Kumar Sahoo, Hijaz Ahmad, Muhammad Tariq, Bibhakar Kodamasingh, Hassen Aydi & Manuel De la Sen. (2021) Hermite–Hadamard Type Inequalities Involving k-Fractional Operator for (h¯,m)-Convex Functions. Symmetry 13:9, pages 1686.
Crossref
Hüseyin Budak, Hasan Kara, Muhammad Aamir Ali & Mehmet Eyüp Kiriș. (2021) On some inequalities related to fractional Hermite-Hadamard type for differentiable convex functions. Annals of the University of Craiova - Mathematics and Computer Science Series 48:1, pages 222-233.
Crossref
Li Ma Ma & Guangzhengao Yang. (2021) Hadamard type inequalities via fractional calculus in the space of exp-convex functions and applications. Electronic Journal of Differential Equations 2021:01-104, pages 33.
Crossref
Qi Li, Muhammad Shoaib Saleem, Peiyu Yan, Muhammad Sajid Zahoor & Muhammad Imran. (2021) On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications. Journal of Mathematics 2021, pages 1-10.
Crossref
Pshtiwan Othman Mohammed. (2019) Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function. Mathematical Methods in the Applied Sciences 44:3, pages 2314-2324.
Crossref
Muhammad Samraiz, Fakhra Nawaz, Bahaaeldin Abdalla, Thabet Abdeljawad, Gauhar Rahman & Sajid Iqbal. (2021) Estimates of trapezium-type inequalities for $ h $-convex functions with applications to quadrature formulae. AIMS Mathematics 6:7, pages 7625-7648.
Crossref
Dafang Zhao, Muhammad Aamir Ali, Artion Kashuri & Hüseyin Budak. (2020) Generalized fractional integral inequalities of Hermite–Hadamard type for harmonically convex functions. Advances in Difference Equations 2020:1.
Crossref
Dumitru Baleanu, Pshtiwan Othman Mohammed & Shengda Zeng. (2020) Inequalities of trapezoidal type involving generalized fractional integrals. Alexandria Engineering Journal 59:5, pages 2975-2984.
Crossref
Xuelong Liu, Gouju Ye, Dafang Zhao & Wei Liu. (2019) Fractional Hermite–Hadamard type inequalities for interval-valued functions. Journal of Inequalities and Applications 2019:1.
Crossref
Shahid Mubeen, Siddra Habib & Muhammad Nawaz Naeem. (2019) The Minkowski inequality involving generalized k-fractional conformable integral. Journal of Inequalities and Applications 2019:1.
Crossref
Kui Liu, JinRong Wang & Donal O’Regan. (2019) On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions. Journal of Inequalities and Applications 2019:1.
Crossref
Silvestru Sever Dragomir & Berikbol T. Torebek. (2019) Some Hermite–Hadamard type inequalities in the class of hyperbolic p-convex functions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:4, pages 3413-3423.
Crossref
Juan E. Nápoles Valdés, José M. Rodríguez & José M. Sigarreta. (2019) New Hermite–Hadamard Type Inequalities Involving Non-Conformable Integral Operators. Symmetry 11:9, pages 1108.
Crossref
Yasemi̇n Başcı & Dumitru Baleanu. (2019) Ostrowski Type Inequalities Involving ψ-Hilfer Fractional Integrals. Mathematics 7:9, pages 770.
Crossref
Bashir Ahmad, Ahmed Alsaedi, Mokhtar Kirane & Berikbol T. Torebek. (2019) Hermite–Hadamard, Hermite–Hadamard–Fejér, Dragomir–Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals. Journal of Computational and Applied Mathematics 353, pages 120-129.
Crossref
F. X. Chen. (2019) On the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals. Ukrainian Mathematical Journal 70:12, pages 1953-1965.
Crossref
Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor & Bandar Abdullah AlMohsen. (2018) Two dimensional extensions of Hermite–Hadamard’s inequalities via preinvex functions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:2, pages 541-555.
Crossref
Mehmet Kunt & İmdat İşcan. (2017) Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals. Iranian Journal of Science and Technology, Transactions A: Science 42:4, pages 2079-2089.
Crossref
Mengmeng Li, Amar Debbouche & JinRong Wang. (2017) Relative controllability in fractional differential equations with pure delay. Mathematical Methods in the Applied Sciences 41:18, pages 8906-8914.
Crossref
Shiow-Ru Hwang & Kuei-Lin Tseng. (2017) New Hermite–Hadamard-type inequalities for fractional integrals and their applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112:4, pages 1211-1223.
Crossref
Shengda Liu, JinRong Wang, Yong Zhou & Michal Fečkan. (2018) Iterative learning control with pulse compensation for fractional differential systems. Mathematica Slovaca 68:3, pages 563-574.
Crossref
Muhammad Adil Khan, Yuming Chu, Tahir Ullah Khan & Jamroz Khan. (2017) Some new inequalities of Hermite-Hadamard type for s-convex functions with applications. Open Mathematics 15:1, pages 1414-1430.
Crossref
Chengbin Liang, Wei Wei & JinRong Wang. (2017) Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees. Advances in Difference Equations 2017:1.
Crossref
Zhuoyan Gao, Mengmeng Li & JinRong Wang. (2016) On some fractional Hermite–Hadamard inequalities via s-convex and s-Godunova–Levin functions and their applications. Boletín de la Sociedad Matemática Mexicana 23:2, pages 691-711.
Crossref
Qian Chen, Amar Debbouche, Zijian Luo & JinRong Wang. (2017) Impulsive fractional differential equations with Riemann–Liouville derivative and iterative learning control. Chaos, Solitons & Fractals 102, pages 111-118.
Crossref
Mehmet Kunt & İmdat İşcan. (2017) Hermite-Hadamard type inequalities for p-convex functions via fractional integrals. Moroccan Journal of Pure and Applied Analysis 3:1, pages 22-34.
Crossref
Shengda Liu & JinRong Wang. (2017) Fractional order iterative learning control with randomly varying trial lengths. Journal of the Franklin Institute 354:2, pages 967-992.
Crossref
Mehmet Kunt, İmdat İşcan, Nazlı Yazıcı & Uğur Gözütok. (2016) On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals. SpringerPlus 5:1.
Crossref
TingSong Du, JiaGen Liao, LianZi Chen & Muhammad Uzair Awan. (2016) Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized ( α , m ) $(\alpha,m)$ -preinvex functions. Journal of Inequalities and Applications 2016:1.
Crossref
Mehmet KUNT & İmdat İŞCAN. (2016) On new inequalities of Hermite-Hadamard-Fejer type for quasi-geometrically convex functions via fractional integrals. Mathematical Sciences and Applications E-Notes 4:2, pages 102-109.
Crossref
Sümeyye ERMEYDAN & Hüseyin YILDIRIM. (2016) Riemann-Liouville fractional Hermite-Hadamard inequalities for differentiable λϕ-preinvex functions. Malaya Journal of Matematik 4:03, pages 430-437.
Crossref
İmdat İşcan & Mehmet Kunt. (2016) Hermite-Hadamard-Fejér Type Inequalities for Quasi-Geometrically Convex Functions via Fractional Integrals. Journal of Mathematics 2016, pages 1-7.
Crossref
Muhammad Aslam Noor, Khalida Inayat Noor & Muhammad Uzair Awan. (2015) Fractional Hermite-Hadmard inequalities for convex functions and applications. Tbilisi Mathematical Journal 8:2.
Crossref
Mehmet Zeki Sarikaya & Huseyin Budak. (2015) Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals. Acta Universitatis Sapientiae, Mathematica 7:2, pages 251-264.
Crossref
Zlatko Pavić. (2015) Improvements of the Hermite-Hadamard inequality. Journal of Inequalities and Applications 2015:1.
Crossref
İmdat İşcan & Shanhe Wu. (2014) Hermite–Hadamard type inequalities for harmonically convex functions via fractional integrals. Applied Mathematics and Computation 238, pages 237-244.
Crossref
Zhi Zhang, JinRong Wang & JianHua Deng. (2014) Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals. International Journal of Mathematics and Mathematical Sciences 2014, pages 1-20.
Crossref
Yuruo Zhang & JinRong Wang. (2013) On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals. Journal of Inequalities and Applications 2013:1.
Crossref
J. Wang, J. Deng & M. Fečkan. (2013) Hermite–Hadamard-type inequalities for r-convex functions based on the use of Riemann–Liouville fractional integrals. Ukrainian Mathematical Journal 65:2, pages 193-211.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.