Abstract
At present, inequalities have reached an outstanding theoretical and applied development and they are the methodological base of many mathematical processes. In particular, Hermite– Hadamard inequality has received considerable attention. In this paper, we prove some new results related to Hermite–Hadamard inequality via symmetric non-conformable integral operators.
Highlights
The significant role of inequalities in the development and evolution of Mathematics is well known
It is well known that every convex function is continuous and integrable on any compact interval
The converse inequalities hold if the function f is concave on the interval I
Summary
The significant role of inequalities in the development and evolution of Mathematics is well known. A function f : I ⊆ R → R is said to be convex on the interval I , if the inequality f tx + (1 − t)y ≤ t f ( x ) + (1 − t) f (y) It is well known that every convex function is continuous and integrable on any compact interval.
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