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

^*Corresponding author for this work

Faculty of Exact and Natural Sciences

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

Bibliographical note

Publisher Copyright:
© 2022 the Author(s), licensee AIMS Press.

Funding

The authors want to give thanks to the Dirección de investigación from Pontificia Universidad Católica del Ecuador for technical support to our research project entitled: “Algunas desigualdades integrales para funciones convexas generalizadas y aplicaciones”.

Keywords

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

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10.3934/math.2022084

Cite this

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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.",

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AU - Ali, Muhammad Aamir

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KW - S-convex function

KW - S-ϕ-convex function

KW - ϕ-convex function

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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

Abstract

Bibliographical note

Funding

Keywords

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