References
- M. W. Alomari, M. Darus and U. S. Kirmaci, Some inequalities of Hermite-Hadamard type for s-convex functions. Acta Math. Sci. Ser. B (Engl. Ed.) 31 (2011), no. 4, 1643-1652.
- M. U. Awan, M. A. Noor, K. I. Noor and A. G. Khan, Some new classes of convex functions and inequalities. Miskolc Math. Notes 19 (2018), no. 1, 77-94. doi: https://doi.org/10.18514/MMN.2018.2179
- H. Budak, F. Usta, M. Z. Sarikaya and M. E. Özdemir, On generalization of midpoint type inequalities with generalized fractional integral operators. Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Mat. RACSAM 113 (2019), no. 2, 769-790. doi: https://doi.org/10.1007/s13398-018-0514-z
- F. Chen and Y. Feng, New inequalities of Hermite-Hadamard type for functions whose first derivatives absolute values are s-convex. Ital. J. Pure Appl. Math. No. 32 (2014), 213-222.
- S. S. Dragomir, J. E. Pečarić, and L. E. Persson, Some inequalities of Hadamard type. Soochow J. Math. 21 (1995), no. 3, 335-341.
- S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, Melbourne, Australia, 2000, https://rgmia.org/monographs/hermite_hadamard.html.
- Y. Feng, Refining Hermite-Hadamard integral inequality by two parameters. Journal of Interdisciplinary Mathematics, 21 (2018), no 3, 743-746. DOI: https://doi.org/10.1080/09720502.2018.1424093.
- S. Hussain, M. I. Bhatti, and M. Iqbal, Hadamard-type inequalities for s -convex functions, I, Punjab Univ. J. Math. (Lahore) 41 (2009), 51-60. 2
- D.-Y. Hwang, Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables. Appl. Math. Comput. 232 (2014), 68-75.
- U. S. Kirmaci, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula. Appl. Math. Comput. 147 (2004), no. 1, 137-146.
- U. S. Kirmaci, Improvement and further generalization of inequalities for differentiable mappings and applications. Comput. Math. Appl. 55 (2008), no. 3, 485-493. doi: https://doi.org/10.1016/j.camwa.2007.05.004
- M. Kunt, D. Karapinar, S. Turhan and İ. İşcan, The left Riemann-Liouville fractional Hermite-Hadamard type inequalities for convex functions. Math. Slovaca 69 (2019), no. 4, 773-784. doi: https://doi.org/10.1515/ms-2017-0261
- Latif, Muhammad Amer; Dragomir, Sever Silvestru. Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications. J. Inequal. Appl. 2013, 2013:575, 19 pp.
- Z. Lin and J. R. Wang, New Riemann-Liouville fractional Hermite-Hadamard inequalities via two kinds of convex functions. Journal of Interdisciplinary Mathematics, 20 (2017), no 2, 357-382. DOI: https://doi.org/10.1080/09720502.2014.914281.
- Z. Liu, On inequalities of Hermite-Hadamard type involving an s-convex function with applications. Issues of Analysis, 5 (2016), no. 1, 3-20. doi: https://doi.org/10.15393/j3.art.2016.3071
- B. Meftah, M. Merad and A. Souahi, Some Hermite-Hadamard type inequalities for functions whose derivatives are quasi-convex. Jordan J. Math. Stat. 12 (2019), no. 2, 219-231.
- B. Meftah, M. Merad, N. Ouanas and A. Souahi, Some new Hermite-Hadamard type inequalities whose nth derivatives are convex. Acta Comment. Univ. Tartu. Math., 23 (2019), no 2, 163-178.
- P. O. Mohammed and T. Abdeljawad, Modification of certain fractional integral inequalities for convex functions. Adv. Difference Equ. 2020, Paper No. 69.
- C. E. M. Pearce and J. Pečarić, Inequalities for differentiable mappings with application to special means and quadrature formulæ. Appl. Math. Lett. 13 (2000), no. 2, 51-55. doi: https://doi.org/10.1016/S0893-9659(99)00164-0
- J. E. Pečarić, F. Proschan and Y. L. Tong, Convex functions, partial orderings, and statistical applications. Mathematics in Science and Engineering, 187. Academic Press, Inc., Boston, MA, 1992.
- K. Qiu and J. R. Wang, A fractional integral identity and its application to fractional Hermite-Hadamard type inequalities. Journal of Interdisciplinary Mathematics, 21 (2018), no 1, 1-16. DOI: https://doi.org/10.1080/09720502.2017.1400795.
- E. D. Rainville, Special functions. Reprint of 1960 first edition. Chelsea Publishing Co., Bronx, N.Y., 1971.
- M. Tunç, E. Göv, and Ü. Şanal, On tgs-convex function and their inequalities. Facta Univ. Ser. Math. Inform. 30 (2015), no. 5, 679-691.
- M. Tunç, U. Sanal and E. Gov, Some Hermite-Hadamard inequalities for beta-convex and its fractional applications. New Trends in Mathematical Sciences, 3 (2015), no 4, p. 18.
- B.-Y. Xi and F. Qi, Inequalities of Hermite-Hadamard type for extended s-convex functions and applications to means. J. Nonlinear Convex Anal. 16 (2015), no. 5, 873-890.
- G. S. Yang, D. Y. Hwang and K. L. Tseng, Some inequalities for differentiable convex and concave mappings. Comput. Math. Appl. 47 (2004), no. 2-3, 207-216. doi: https://doi.org/10.1016/S0898-1221(04)90017-X