Some new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications

Miguel Vivas-Cortez; Muhammad Uzair Awan; Sadia Talib; Artion Kashuri; Muhammad Aslam Noor

doi:10.3390/axioms10040283

Some new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications

Miguel Vivas-Cortez
, Muhammad Uzair Awan^*
, Sadia Talib
, Artion Kashuri
, Muhammad Aslam Noor

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite–Hadamard’s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well.

Idioma original	Inglés
Número de artículo	283
Publicación	Axioms
Volumen	10
N.º	4
DOI	https://doi.org/10.3390/axioms10040283
Estado	Publicada - 29 oct 2021

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© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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title = "Some new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications",

abstract = "The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite{\textendash}Hadamard{\textquoteright}s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well.",

keywords = "Bounded functions, Hermite{\textendash}Hadamard inequality, H{\"o}lder{\textquoteright}s inequality, Post-quantum calculus, Power mean inequality, Special means, ψ-preinvex functions",

author = "Miguel Vivas-Cortez and Awan, \{Muhammad Uzair\} and Sadia Talib and Artion Kashuri and Noor, \{Muhammad Aslam\}",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

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doi = "10.3390/axioms10040283",

language = "English",

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T1 - Some new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications

AU - Vivas-Cortez, Miguel

AU - Awan, Muhammad Uzair

AU - Talib, Sadia

AU - Kashuri, Artion

AU - Noor, Muhammad Aslam

PY - 2021/10/29

Y1 - 2021/10/29

N2 - The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite–Hadamard’s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well.

AB - The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite–Hadamard’s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well.

KW - Bounded functions

KW - Hermite–Hadamard inequality

KW - Hölder’s inequality

KW - Post-quantum calculus

KW - Power mean inequality

KW - Special means

KW - ψ-preinvex functions

UR - https://www.scopus.com/pages/publications/85119177855

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VL - 10

JO - Axioms

JF - Axioms

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M1 - 283

ER -

Some new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications

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