NEW QUANTUM INTEGRAL INEQUALITIES VIA m–CONVEX FUNCTIONS OVER FINITE INTERVAL

Miguel Vivas-Cortez; Artion Kashuri; Muhammad Raees; Matloob Anwar

doi:10.7153/jmi-2023-17-45

NEW QUANTUM INTEGRAL INEQUALITIES VIA m–CONVEX FUNCTIONS OVER FINITE INTERVAL

Miguel Vivas-Cortez^*, Artion Kashuri, Muhammad Raees, Matloob Anwar

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

First we consider a new trapezium identity for twice differentiable functions in quantum integrals. This identity investigates our main results that consist some integral inequalities of trapezium type using the newly introduced q-derivatives for the m-convex functions over finite intervals of real numbers. Some special cases are discussed in details to support our theoretical results.

Idioma original	Inglés
Páginas (desde-hasta)	683-706
Número de páginas	24
Publicación	Journal of Mathematical Inequalities
Volumen	17
N.º	2
DOI	https://doi.org/10.7153/jmi-2023-17-45
Estado	Publicada - 15 jul. 2023

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abstract = "First we consider a new trapezium identity for twice differentiable functions in quantum integrals. This identity investigates our main results that consist some integral inequalities of trapezium type using the newly introduced q-derivatives for the m-convex functions over finite intervals of real numbers. Some special cases are discussed in details to support our theoretical results.",

keywords = "Hermite–Hadamard inequality, H{\"o}lder{\textquoteright}s inequality, m-convex functions, power mean inequality, q-derivatives, q-integrals",

author = "Miguel Vivas-Cortez and Artion Kashuri and Muhammad Raees and Matloob Anwar",

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AU - Raees, Muhammad

AU - Anwar, Matloob

PY - 2023/7/15

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N2 - First we consider a new trapezium identity for twice differentiable functions in quantum integrals. This identity investigates our main results that consist some integral inequalities of trapezium type using the newly introduced q-derivatives for the m-convex functions over finite intervals of real numbers. Some special cases are discussed in details to support our theoretical results.

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KW - Hermite–Hadamard inequality

KW - Hölder’s inequality

KW - m-convex functions

KW - power mean inequality

KW - q-derivatives

KW - q-integrals

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JF - Journal of Mathematical Inequalities

IS - 2

ER -

NEW QUANTUM INTEGRAL INEQUALITIES VIA m–CONVEX FUNCTIONS OVER FINITE INTERVAL

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