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On a unified integral operator for φ-convex functions

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Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds… Click to show full abstract

Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric φ-convex functions in the form of a Hadamard inequality. Also, for φ-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions.

Keywords: operator convex; convex functions; integral operator; unified integral; functions unified

Journal Title: Advances in Difference Equations
Year Published: 2020

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