Advanced search
Publication Cover
Integral Transforms and Special Functions Volume 22, 2011 - Issue 9
Submit an article Journal homepage
140
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Inequalities associated with Čebyšev functional for Saigo fractional integration operator

Ram K. Saxena Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, 342004, India
,
Jeta Ram Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, 342004, India
,
Jitendra Daiya Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, 342004, India
&
Tibor K. Pogány Faculty of Maritime Studies, University of Rijeka, 51000, Rijeka, Studentska 2, CroatiaCorrespondence[email protected]
Pages 671-680 | Received 27 Sep 2010, Accepted 01 Nov 2010, Published online: 08 Feb 2011

References

  • Belarbi , S. and Dahmani , Z. 2009 . On some new fractional integral inequalities . JIPAM J. Inequal. Pure Appl. Math , 10 ( 3 ) Art. 86
  • Belarbi , S. and Dahmani , Z. 2010 . On some new fractional integral inequalities . Int. J. Math. Anal. (Ruse) , 4 ( 1–4 ) : 185 – 191 .
  • Carlson , B. C. 1966 . Some inequalities for hypergeometric functions . Proc. Amer. Math. Soc. , 17 : 32 – 39 .
  • Čebyšev , P. L. 1882 . Sur les expressions approximatives des integrales definies par les autres prises entre les mêmes limites . Proc. Math. Soc. Charkov , 2 : 93 – 98 .
  • Chen , C. P. and Srivastava , H. M. 2010 . A class of two sided inequalities involving the psi and polygamma function . Integral Transforms Special Funct. , 21 : 523 – 528 .
  • Gorenflo , R. and Mainardi , F. 1997 . Fractional Calculus: Integral and Differential Equations of Fractional Order , 223 – 276 . Wien : Springer-Verlag .
  • Kilbas , A. A. , Srivastava , H. M. and Trujillo , J. J. 2006 . Theory and Applications of Fractional Differentinal Equations , Elsevier, Amsterdam .
  • Luke , Y. L. 1972 . Inequalities for generalized hypergeometric functions . J. Approx. Theory , 5 : 41 – 65 .
  • Mashed-Jamei , M. , Qi , F. and Srivastava , H. M. 2010 . Generalizations of some classical inequalities via a special functional property . Integral Transforms Special Funct. , 21 ( 5–6 ) : 327 – 336 .
  • Neuman , E. 2010 . One and twosided inequalities for Jacobian elliptic functions and related results . Integral Transforms Special Funct , 21 ( 6 ) : 399 – 407 .
  • Pachpatte , B. G. 2006 . A note on Chebyshev-Grüss type inequalities for differential functions . Tamsui Oxf. J. Math. Sci , 22 ( 1 ) : 29 – 36 .
  • Podlubny , I. 1999 . Fractional Differential Equations , San Diego : Academic Press .
  • Saigo , M. 1977/1978 . A remark on integral operators involving Gauss's hypergeometric functions . Math. Rep. Kyushu Univ , 11 ( 2 ) : 135 – 143 .
  • Saigo , M. , Saxena , R. K. and Ram , J. 1990 . On two-dimensional Weyl fractional calculus associated with two-dimensional H-transform . J. Fract. Calc. , 8 : 63 – 73 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.