Trapezoidal-type inequalities for strongly convex and quasi-convex functions via post-quantum calculus

Humaira Kalsoom; Miguel Vivas-Cortez; Muhammad Amer Latif

doi:10.3390/e23101238

Trapezoidal-type inequalities for strongly convex and quasi-convex functions via post-quantum calculus

Humaira Kalsoom
, Miguel Vivas-Cortez^*
, Muhammad Amer Latif^*

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.

Idioma original	Inglés
Número de artículo	1238
Publicación	Entropy
Volumen	23
N.º	10
DOI	https://doi.org/10.3390/e23101238
Estado	Publicada - 22 sep. 2021

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

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Financiadores
Zhejiang Normal University

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10.3390/e23101238

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abstract = "In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.",

keywords = "(p,Q)-calculus, Strongly convex functions, Strongly quasi-convex functions, Trapezoidal (p,Q) -integral and (p,Q) -integral",

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AU - Kalsoom, Humaira

AU - Vivas-Cortez, Miguel

AU - Latif, Muhammad Amer

PY - 2021/9/22

Y1 - 2021/9/22

N2 - In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.

AB - In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.

KW - (p,Q)-calculus

KW - Strongly convex functions

KW - Strongly quasi-convex functions

KW - Trapezoidal (p,Q) -integral and (p,Q) -integral

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