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Unified integral operator inequalities via convex composition of two functions

Ghulam Farid|Lakshmi Narayan Mishra|Kahkashan Mahreen
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.03|한국수학논문집 (Korean Journal of Mathematics)|제29권 제1호|pp. 91-103

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키워드

Integral operatorFractional integralsConvex functionBounds
주제분류수학

초록

In this paper we have established inequalities for a unified integral operator by using convexity of composition of two functions. The obtained results are directly connected to bounds of various fractional and conformable integral operators which are already known in literature. A generalized Hadamard integral inequality is obtained which further leads to its various versions for associated fractional integrals. Further, some implicated results are discussed.

Abstract

In this paper we have established inequalities for a unified integral operator by using convexity of composition of two functions. The obtained results are directly connected to bounds of various fractional and conformable integral operators which are already known in literature. A generalized Hadamard integral inequality is obtained which further leads to its various versions for associated fractional integrals. Further, some implicated results are discussed.

참고문헌 (30)

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