KATUGAMPOLA FRACTIONAL PARAMETERIZED INEQUALITIES FOR S-CONVEX FUNCTION IN THE FOURTH SENSE

Yongfang Qi and Guoping Li
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Yongfang Qi: Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China
Guoping Li: ��Scientific Research Planning Division, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 06, 1-16

Abstract: In this paper, we present Katugampola fractional parameterized inequalities for s-convex function in the fourth sense. In the first place, with the help of integration by parts method, we provide a very important identity that will be of great significance for the next research. In addition, by comprehensively making use of some important concepts such as s-convex function in the fourth sense, Hölder’s integral inequality, and the well-known power-mean inequality, we establish three new parameterized inequalities. Finally, we provide some corollaries to help readers gain a deeper understanding of the theorems and the relevant theories.

Keywords: Parameterized Inequalities; Newton Type Inequalities; Hermite–Hadamard Inequality; s-Convex Function (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24501081

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