New Ostrowski type inequalities for generalized s-convex functions with applications to some special means of real numbers and to midpoint formula

被引：7

作者：

Agarwal, Praveen ^{[1
]}

Vivas-Cortez, Miguel ^{[2
]}

Rangel-Oliveros, Yenny ^{[2
]}

Ali, Muhammad Aamir ^{[3
]}

机构：

[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[2] Pontificia Univ Catolica Ecuador, Fac Ciencias Nat & Exactas, Escuela Ciencias Fis & Matemat, Sede Quito, Quito, Ecuador

[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 01期

关键词：

phi-convex function; s-convex function; s-phi-convex function; s-phi(b)-convex function; Ostrowski inequality; HADAMARD TYPE INEQUALITIES; JENSENS INEQUALITY; SETS;

D O I：

10.3934/math.2022084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish new Ostrowski type inequalities related to the notion s-phi-convex functions (see [37]), were f is an element of C-n([a, b]) with f((n)) is an element of L([a, b]) and we give some applications to some special means, the midpoint formula and some examples for the case n = 2.

引用

页码：1429 / 1444

页数：16

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