Generalized q-integral Inequalities using ($$-m) and (α-m) convexities

Ghulam Farid; Waseela Bibi; Mawahib Elamin; Huda Uones Mohamd Ahamd; Jihan Alahmadi; Neama Yahia; Mortada S. Ali

doi:10.18576/AMIS/170623

Generalized q-integral Inequalities using ($$-m) and (α-m) convexities

Ghulam Farid, Waseela Bibi, Mawahib Elamin, Huda Uones Mohamd Ahamd, Jihan Alahmadi, Neama Yahia, Mortada S. Ali

Mathematics

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

2 Scopus citations

Abstract

In this paper certain inequalities are established for q-h-integrals by applying definitions of two types of convex functions. The Hermite-Hadamard inequality in different variants for q-h-integrals is given by using ($$-m)- and (a-m)-convex functions. Some well-known q-integral inequalities for several types of convex functions are deduced.

Original language	English
Pages (from-to)	1189-1197
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	17
Issue number	6
DOIs	https://doi.org/10.18576/AMIS/170623
State	Published - 2023

Keywords

convex function
Differential equations
fractional derivatives
Hermite–Hadamard inequality

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10.18576/AMIS/170623

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title = "Generalized q-integral Inequalities using (\$\$-m) and (α-m) convexities",

abstract = "In this paper certain inequalities are established for q-h-integrals by applying definitions of two types of convex functions. The Hermite-Hadamard inequality in different variants for q-h-integrals is given by using (\$\$-m)- and (a-m)-convex functions. Some well-known q-integral inequalities for several types of convex functions are deduced.",

keywords = "convex function, Differential equations, fractional derivatives, Hermite–Hadamard inequality",

author = "Ghulam Farid and Waseela Bibi and Mawahib Elamin and Ahamd, \{Huda Uones Mohamd\} and Jihan Alahmadi and Neama Yahia and Ali, \{Mortada S.\}",

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AU - Farid, Ghulam

AU - Bibi, Waseela

AU - Elamin, Mawahib

AU - Ahamd, Huda Uones Mohamd

AU - Alahmadi, Jihan

AU - Yahia, Neama

AU - Ali, Mortada S.

N1 - Publisher Copyright: © (2023) 2023 NSP Natural Sciences Publishing Cor.

PY - 2023

Y1 - 2023

N2 - In this paper certain inequalities are established for q-h-integrals by applying definitions of two types of convex functions. The Hermite-Hadamard inequality in different variants for q-h-integrals is given by using ($$-m)- and (a-m)-convex functions. Some well-known q-integral inequalities for several types of convex functions are deduced.

AB - In this paper certain inequalities are established for q-h-integrals by applying definitions of two types of convex functions. The Hermite-Hadamard inequality in different variants for q-h-integrals is given by using ($$-m)- and (a-m)-convex functions. Some well-known q-integral inequalities for several types of convex functions are deduced.

KW - convex function

KW - Differential equations

KW - fractional derivatives

KW - Hermite–Hadamard inequality

UR - http://www.scopus.com/inward/record.url?scp=85183934062&partnerID=8YFLogxK

U2 - 10.18576/AMIS/170623

DO - 10.18576/AMIS/170623

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JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 6

ER -

Generalized q-integral Inequalities using ($$-m) and (α-m) convexities

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Keywords

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