n this study, the concept of (m, n)−polynomial (p1, p2)- convex functions on the coordinates has been established with some basic properties. Dependent on this new concept, a new Hermite-Hadamard type inequality has been proved, then some new integral inequalities have been obtained for partial differentiable (m, n)−polynomial (p1, p2)- convex functions on the coordinates. Several special cases that some of them proved in earlier works have been considered.

Some new integral inequalities for a general variant of polynomial convex functions

Maria Alessandra Ragusa
2022

Abstract

n this study, the concept of (m, n)−polynomial (p1, p2)- convex functions on the coordinates has been established with some basic properties. Dependent on this new concept, a new Hermite-Hadamard type inequality has been proved, then some new integral inequalities have been obtained for partial differentiable (m, n)−polynomial (p1, p2)- convex functions on the coordinates. Several special cases that some of them proved in earlier works have been considered.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/537206
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