Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions

AIMS Mathematics

Ghulam Farid¹  Maja Andrić²  Maryam Saddiqa³  Josip Pečarić⁴  Chahn Yong Jung⁵ 

[1] 1 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan;2 Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21000 Split, Croatia;3 Department of Mathematics, Air University Islamabad, Pakistan;4 Rudn University, Moscow, Russia;5 Department of Business Administration, Gyeongsang National University Jinju 52828, Korea;

关键词: convex function;    strongly convex function;    mittag-leffler function;    generalized fractionl integrals;   

DOI  :  10.3934/math.2020469

来源: DOAJ

【 摘 要 】

The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of already known bounds of different fractional integral operators for convex, m-convex, s-convex and (s, m)-convex functions. Moreover, the refinements of some known fractional versions of the Hadamard inequality are given.

【 授权许可】

Unknown