Open AccessNew Ostrowski type inequalities for generalized $ s $-convex functions with applications to some special means of real numbers and to midpoint formula
Author(s) -
Praveen Agarwal,
Miguel Vivas–Cortez,
Yenny Rangel-Oliveros,
Muhammad Aamir Ali
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022084
Subject(s) - midpoint , mathematics , regular polygon , type (biology) , convex function , combinatorics , pure mathematics , geometry , ecology , biology
In this paper we establish new Ostrowski type inequalities related to the notion s-$ \varphi $-convex functions (see [ 37 ] ), were $ f\in C^n([a, b]) $ with $ f^{(n)}\in L([a, b]) $ and we give some applications to some special means, the midpoint formula and some examples for the case $ n = 2 $.