Some New Versions of Fractional Inequalities for Exponential Trigonometric Convex Mappings via Ordered Relation on Interval-Valued Settings

Autor: Muhammad Bilal Khan, Adriana Cătaş, Najla Aloraini, Mohamed S. Soliman
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Fractal and Fractional, Vol 7, Iss 3, p 223 (2023)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract7030223
Popis: This paper’s main goal is to introduce left and right exponential trigonometric convex interval-valued mappings and to go over some of their important characteristics. Additionally, we demonstrate the Hermite–Hadamard inequality for interval-valued functions by utilizing fractional integrals with exponential kernels. Moreover, we use the idea of left and right exponential trigonometric convex interval-valued mappings to show various findings for midpoint- and Pachpatte-type inequalities. Additionally, we show that the results provided in this paper are expansions of several of the results already demonstrated in prior publications The suggested research generates variants that are applicable for conducting in-depth analyses of fractal theory, optimization, and research challenges in several practical domains, such as computer science, quantum mechanics, and quantum physics.
Databáze: Directory of Open Access Journals
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