Fractional Milne-type inequalities by various function classes

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Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Zhejiang Univ Press

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The manuscript's authors examine some Milne-type inequalities for various function classes. Firstly, some Milne-type inequalities are established for differentiable convex functions by using Riemann-Liouville integrals. Secondly, we provide some fractional Milne-type inequalities for bounded functions by fractional integrals. Afterwards, we offer several Milne-type inequalities for Lipschitzian functions. Likewise, we offers Milne-type inequalities by fractional integrals of bounded variation. Finally, we demonstrate the correctness of our results by using special cases and examples of the obtained theorems.

Açıklama

Anahtar Kelimeler

Milne-type inequalities, quadrature formulae, open Newton-Cotes formulas

Kaynak

Applied Mathematics-A Journal of Chinese Universities Series B

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

40

Sayı

4

Künye