Integral bounds for differentiable functions via monotone derivative constraints and their applications
Küçük Resim Yok
Tarih
2026
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper develops new integral inequalities that bound the deviation of a differentiable function from its mean using \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L<^>1$$\end{document}-bounded first and second derivatives. By leveraging monotonicity properties of these bounding functions, we refine classical Ostrowski-type results to obtain sharper and more general estimates. Several corollaries, including constant-bound cases, are also presented with rigorous proofs based primarily on Taylor expansions and integral inequalities.
Açıklama
Anahtar Kelimeler
[Keyword Not Available]
Kaynak
Rendiconti Del Circolo Matematico Di Palermo
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
75
Sayı
2
