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

Maimoona Karim|Aliya Fahmi|Ather Qayyum|Siti Suzlin Supadi
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.12|한국수학논문집 (Korean Journal of Mathematics)|제32권 제4호|pp. 647-659

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참고문헌

키워드

Simpson's inequality$(sm)$-convex functionPower-mean inequality
주제분류수학

초록

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.

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.

참고문헌 (25)

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