DOAJ Open Access 2024

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

Mehmet Gümüş Fatih Hezenci Hüseyin Budak

Abstrak

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.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (3)

Mehmet Gümüş

Fatih Hezenci

Hüseyin Budak

Format Sitasi

APA MLA BibTeX

Gümüş, M., Hezenci, F., Budak, H. (2024). Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes. https://doi.org/10.3390/fractalfract8070372

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/fractalfract8070372
Akses: Open Access ✓