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

Gumus M., Hezenci F., Budak H.

FRACTAL AND FRACTIONAL, cilt.8, sa.7, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 7
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3390/fractalfract8070372
  • Dergi Adı: FRACTAL AND FRACTIONAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.