Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Autor:	Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	quadrature formulae Maclaurin’s formula convex functions fractional calculus Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 7, p 372 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8070372
Popis:	This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals. Afterwards, our results are provided by using special cases of obtained theorems and examples. Moreover, several Euler–Maclaurin-type inequalities are presented for bounded functions by fractional integrals. Some fractional Euler–Maclaurin-type inequalities are established for Lipschitzian functions. Finally, several Euler–Maclaurin-type inequalities are constructed by fractional integrals of bounded variation.
Databáze:	Directory of Open Access Journals
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