New Generalized Inequalities for Functions of Bounded Variation

Yıl 2018, Cilt: 39 Sayı: 3, 668 - 678, 30.09.2018

Hüseyin Budak Mehmet Zeki Sarıkaya

https://doi.org/10.17776/csj.414037

Öz

In this paper, firstly we obtain some generalized trapezoid and midpoint
type inequalities for functions of bounded variation using two new generalized identities
for Riemann-Stieltjes integrals. Then quadrature formula is also provided.

Anahtar Kelimeler

Functions of bounded variation, Ostrowski type inequalities, Riemann-Stieltjes integrals, Riemann-Stieltjes integrals

Sınırlı Varyasyonlu Fonksiyonlar için Yeni Genelleşmiş Eşitsizlikler

Öz

Bu makalede ilk olarak Riemann-Stieltjes
integrallleri için genelleşmiş yeni iki eşitlik kullanılarak sınırlı
varyasyonlu fonksiyonlar için yamuk (trapezoid) ve orta nokta (midpoint) tipli
bazı genelleşmiş eşitsizlikler elde edilmiştir. Daha sonra karesel formül de
sağlanmıştır.

Anahtar Kelimeler

Sınırlı varyasyonlu fonksiyon, Ostrowski tipli eşitsizlikler, Riemann-Stieltjes integralleri

Kaynakça

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