New Quantum Estimates of Trapezium-Type Inequalities for Generalized ϕ-Convex Functions

Autor:	Miguel J. Vivas-Cortez, Artion Kashuri, Jorge E. Hernández Hernández, Rozana Liko
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Pure mathematics General Mathematics Type (model theory) 01 natural sciences Identity (mathematics) raina’s function Hermite–Hadamard inequality Computer Science (miscellaneous) Differentiable function 0101 mathematics Engineering (miscellaneous) Quantum power mean inequality Mathematics convex function hölder’s inequality lcsh:Mathematics 010102 general mathematics Function (mathematics) quantum estimates lcsh:QA1-939 hermite–hadamard inequality 010101 applied mathematics TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Product (mathematics) Computer Science::Programming Languages Convex function
Zdroj:	Mathematics, Vol 7, Iss 11, p 1047 (2019) Mathematics Volume 7 Issue 11
ISSN:	2227-7390
Popis:	In this paper, a quantum trapezium-type inequality using a new class of function, the so-called generalized ϕ -convex function, is presented. A new quantum trapezium-type inequality for the product of two generalized ϕ -convex functions is provided. The authors also prove an identity for twice q - differentiable functions using Raina&rsquo s function. Utilizing the identity established, certain quantum estimated inequalities for the above class are developed. Various special cases have been studied. A brief conclusion is also given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7a2109185a000bce375ad7bdbf636d6 https://www.mdpi.com/2227-7390/7/11/1047 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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