On Error Bounds for Milne's Formula in Conformable Fractional Operators

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Milne's formula is a mathematical expression used to approximate the value of a definite integral. This formula is especially useful for problems encountered in physics, engineering, and various other scientific disciplines. We establish an equality for conformable fractional integrals. With the help of this equality, we obtain error bounds for one of the open Newton-Cotes formulas, namely, Milne's formula for the case of differentiable convex functions within the framework of fractional and classical calculus. Furthermore, we provide our results by using special cases of the obtained theorems.

Açıklama

Anahtar Kelimeler

Kaynak

Ukrainian Mathematical Journal

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

76

Sayı

7

Künye