A theorem on the first and second local modulus of continuity and applications to quadrature rules and means

Ozdemir M. E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.141, sa.2-3, ss.579-588, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 141 Sayı: 2-3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00277-1
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.579-588
  • Anahtar Kelimeler: local modulus of continuity, Taylor theorem, univariate continuously differentiable functions, quadrature formulae
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

This article will focus on, and extend, the part of the earlier study that concerns with the inequalities in Theorems 1 and 2 [Appl. Math. Lett. 12 (1999) 7]. In this paper, we establish a new inequality involving the first and second local modulus of continuity of a continuously differentiable function and applications to special means are investigated. (C) 2002 Published by Elsevier Science Inc.