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Some New Improvements of Hermite-Hadamard Type Inequalities Using Strongly $(s,m)$-Convex Function with Applications

Year: 2025

Type: article

Abstract: The trapezoidal-type inequalities are discovered in this study using the fractional operator, which produces powerful results. We established a general identity for Caputo-Fabrizio integral operators and the second derivative function. Using this identity new error bounds and estimates for strongly $(s,m)$-convex functions are obtained. Moreover, some noveltrapezoidal-type inequalities are offered taking this identity into account using the known inequalities like Young, Jensen, H\"{o}lder and power-mean inequalities. Finally, we present some applications for matrix inequality, estimation error regarding trapezoidal formulas and special means for real numbers.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

DOI: 10.22130/scma.2024.2023382.1633

Authors: Arslan Munir, Huseyin Budak, Artion Kashuri, Irza Faiz, Hasan Kara, Ather Qayyum Qayyum

Institutions: University of Science and Technology of China, Düzce Üniversitesi, Polytechnic University of Tirana, Northumbria University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6888837243

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