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

Praveen Agarwal; Miguel Vivas-Cortez; Yenny Rangel-Oliveros; Muhammad Aamir Ali

doi:10.3934/math.2022084

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

Praveen Agarwal
, Miguel Vivas-Cortez
, Yenny Rangel-Oliveros
, Muhammad Aamir Ali

International College of Engineering
Pontificia Universidad Católica del Ecuador
Nanjing Normal University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	1429-1444
Number of pages	16
Journal	AIMS Mathematics
Volume	7
Issue number	1
DOIs	https://doi.org/10.3934/math.2022084
State	Published - 2022
Externally published	Yes

Keywords

Ostrowski inequality
S-convex function
S-ϕ-convex function
S-ϕ-convex function
ϕ-convex function

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10.3934/math.2022084

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

keywords = "Ostrowski inequality, S-convex function, S-ϕ-convex function, S-ϕ-convex function, ϕ-convex function",

author = "Praveen Agarwal and Miguel Vivas-Cortez and Yenny Rangel-Oliveros and Ali, \{Muhammad Aamir\}",

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AU - Rangel-Oliveros, Yenny

AU - Ali, Muhammad Aamir

PY - 2022

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KW - Ostrowski inequality

KW - S-convex function

KW - S-ϕ-convex function

KW - ϕ-convex function

UR - https://www.scopus.com/pages/publications/85117905037

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

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Keywords

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