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^*

^*Corresponding author for this work

Faculty of Exact and Natural Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Article number	1238
Journal	Entropy
Volume	23
Issue number	10
DOIs	https://doi.org/10.3390/e23101238
State	Published - 22 Sep 2021

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

Funding

Department of Mathematical, Zhejiang Normal University, Jinhua 321004, China.

Funders	Funder number
Zhejiang Normal University

Keywords

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

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

Abstract

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Keywords

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