Hadamard-Type Inequalities for Generalized Integral Operators Containing Special Functions
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초록

Convex functions are studied very frequently by means of the Hadamard inequality. A symmetric function leads to the generalization of the Hadamard inequality; the Fejer-Hadamard inequality is one of the generalizations of the Hadamard inequality that holds for convex functions defined on a finite interval along with functions which have symmetry about the midpoint of that finite interval. Lately, integral inequalities for convex functions have been extensively generalized by fractional integral operators. In this paper, inequalities of Hadamard type are generalized by using exponentially (alpha, h-m)-p-convex functions and an operator containing an extended generalized Mittag-Leffler function. The obtained results are also connected with several well-known Hadamard-type inequalities.

키워드

Hadamard inequalityexponentially (alpha, h-m)-p-convex functiongeneralized fractional integral operatorsMittag-Leffler function
제목
Hadamard-Type Inequalities for Generalized Integral Operators Containing Special Functions
저자
Jung, ChahnyongFarid, GhulamYussouf, MuhammadNonlaopon, Kamsing
DOI
10.3390/sym14030492
발행일
2022-03
유형
Article
저널명
Symmetry
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