A new study on Simpson’s type inequalities via generalized convexity with application

Maimoona Karim; Aliya Fahmi; Ather Qayyum; Siti Suzlin Supadi

doi:10.11568/kjm.2024.32.4.647

A new study on Simpson’s type inequalities via generalized convexity with application

Maimoona Karim, Aliya Fahmi, Ather Qayyum^*, Siti Suzlin Supadi

^*Corresponding author for this work

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

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Abstract

Convexity plays a crucial role in the development of fractional integral inequalities. A large number of fractional integral inequalities are obtained by use of convexity methods and attributes. In this paper, we use generalize convex functions to derive new Simpson’s type inequalities. Additionally, several novel connected findings of Simpson’s inequality for concave functions are generated. Also, some new applications to specific means are given.

Original language	English
Pages (from-to)	647-659
Number of pages	13
Journal	Korean Journal of Mathematics
Volume	32
Issue number	4
DOIs	https://doi.org/10.11568/kjm.2024.32.4.647
Publication status	Published - 30 Dec 2024
Externally published	Yes

Keywords

(s, m)-convex function
Power-mean inequality.
Simpson’s inequality

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10.11568/kjm.2024.32.4.647Licence: CC BY-NC

A NEW STUDY ON SIMPSON'S TYPE INEQUALITIES VIA GENERALIZED CONVEXITY WITH APPLICATIONFinal published version, 342 KBLicence: CC BY-NC

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title = "A new study on Simpson{\textquoteright}s type inequalities via generalized convexity with application",

abstract = "Convexity plays a crucial role in the development of fractional integral inequalities. A large number of fractional integral inequalities are obtained by use of convexity methods and attributes. In this paper, we use generalize convex functions to derive new Simpson{\textquoteright}s type inequalities. Additionally, several novel connected findings of Simpson{\textquoteright}s inequality for concave functions are generated. Also, some new applications to specific means are given.",

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author = "Maimoona Karim and Aliya Fahmi and Ather Qayyum and Supadi, \{Siti Suzlin\}",

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AU - Fahmi, Aliya

AU - Qayyum, Ather

AU - Supadi, Siti Suzlin

N1 - Publisher Copyright: © The Kangwon-Kyungki Mathematical Society, 2024.

PY - 2024/12/30

Y1 - 2024/12/30

N2 - Convexity plays a crucial role in the development of fractional integral inequalities. A large number of fractional integral inequalities are obtained by use of convexity methods and attributes. In this paper, we use generalize convex functions to derive new Simpson’s type inequalities. Additionally, several novel connected findings of Simpson’s inequality for concave functions are generated. Also, some new applications to specific means are given.

AB - Convexity plays a crucial role in the development of fractional integral inequalities. A large number of fractional integral inequalities are obtained by use of convexity methods and attributes. In this paper, we use generalize convex functions to derive new Simpson’s type inequalities. Additionally, several novel connected findings of Simpson’s inequality for concave functions are generated. Also, some new applications to specific means are given.

KW - (s, m)-convex function

KW - Power-mean inequality.

KW - Simpson’s inequality

UR - https://www.scopus.com/pages/publications/85218736090

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DO - 10.11568/kjm.2024.32.4.647

M3 - Article

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EP - 659

JO - Korean Journal of Mathematics

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ER -

A new study on Simpson’s type inequalities via generalized convexity with application

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Keywords

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