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

^*Autor correspondiente de este trabajo

Facultad de Ciencias Exactas, Naturales y Ambientales

Producción científica: Revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	1429-1444
Número de páginas	16
Publicación	AIMS Mathematics
Volumen	7
N.º	1
DOI	https://doi.org/10.3934/math.2022084
Estado	Publicada - 2022

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

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

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, ϕ-convex function",

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

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AU - Vivas-Cortez, Miguel

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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