Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense: Ostrowski and Jensen-type inequalities and generalized convexity

Miguel José Vivas-Cortez; Jorge Eliecer Hernández Hernández

doi:10.1007/s40590-019-00273-z

Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense: Ostrowski and Jensen-type inequalities and generalized convexity

Miguel José Vivas-Cortez^*
, Jorge Eliecer Hernández Hernández

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

10 Citas (Scopus)

Resumen

In this work, a generalization of the classical Ostrowski inequality is obtained for functions, whose first derivative are (s, m)-convex in the second sense, and in a similar form, an integral inequality of Jensen type for (s, m)-convex functions in the second sense is also given.

Idioma original	Inglés
Páginas (desde-hasta)	287-302
Número de páginas	16
Publicación	Boletin de la Sociedad Matematica Mexicana
Volumen	26
N.º	2
DOI	https://doi.org/10.1007/s40590-019-00273-z
Estado	Publicada - 1 jul 2020

Nota bibliográfica

Publisher Copyright:
© 2020, Sociedad Matemática Mexicana.

Financiación

Financiadores
Universidad Centroccidental Lisandro Alvarado

Acceder al documento

10.1007/s40590-019-00273-z

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Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense: Ostrowski and Jensen-type inequalities and generalized convexity. / Vivas-Cortez, Miguel José; Hernández Hernández, Jorge Eliecer.
En: Boletin de la Sociedad Matematica Mexicana, Vol. 26, N.º 2, 01.07.2020, p. 287-302.

Producción científica: Revista › Artículo › revisión exhaustiva

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AU - Vivas-Cortez, Miguel José

AU - Hernández Hernández, Jorge Eliecer

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KW - Convex function

KW - Jensen integral inequality

KW - Ostrowski inequality

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