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

  • Farid, Ghulam; 
  • Andric, Maja; 
  • Saddiqa, Maryam; 
  • Pecaric, Josip; 
  • Jung, Chahn Yong
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초록

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.

키워드

convex function; strongly convex function; Mittag-Leffler function; generalized fractionl integrals; CONVEXITY; EXTENSION; (S
제목
Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions
저자
Farid, Ghulam; Andric, Maja; Saddiqa, Maryam; Pecaric, Josip; Jung, Chahn Yong
DOI
10.3934/math.2020469
발행일
2020-09
유형
Article
저널명
AIMS MATHEMATICS
권
5
호
6
페이지
7332 ~ 7349