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

9 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	Número del financiador
CDCHT
Universidad Centroccidental Lisandro Alvarado
Consejo de Desarrollo Científico, Humanístico, Tecnológico y de las Artes, Universidad de Los Andes Venezuela

Acceder al documento

10.1007/s40590-019-00273-z

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{8afa5f77de1243e9826d376802216528,

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

abstract = "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.",

keywords = "(s, m)-convex function, Convex function, Jensen integral inequality, Ostrowski inequality",

author = "Vivas-Cortez, \{Miguel Jos{\'e}\} and \{Hern{\'a}ndez Hern{\'a}ndez\}, \{Jorge Eliecer\}",

note = "Publisher Copyright: {\textcopyright} 2020, Sociedad Matem{\'a}tica Mexicana.",

year = "2020",

month = jul,

day = "1",

doi = "10.1007/s40590-019-00273-z",

language = "English",

volume = "26",

pages = "287--302",

journal = "Boletin de la Sociedad Matematica Mexicana",

issn = "1405-213X",

publisher = "Birkhauser Verlag Basel",

number = "2",

}

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

TY - JOUR

T1 - Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense

T2 - Ostrowski and Jensen-type inequalities and generalized convexity

AU - Vivas-Cortez, Miguel José

AU - Hernández Hernández, Jorge Eliecer

PY - 2020/7/1

Y1 - 2020/7/1

N2 - 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.

AB - 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.

KW - (s, m)-convex function

KW - Convex function

KW - Jensen integral inequality

KW - Ostrowski inequality

UR - https://www.scopus.com/pages/publications/85077563688

U2 - 10.1007/s40590-019-00273-z

DO - 10.1007/s40590-019-00273-z

M3 - Article

AN - SCOPUS:85077563688

SN - 1405-213X

VL - 26

SP - 287

EP - 302

JO - Boletin de la Sociedad Matematica Mexicana

JF - Boletin de la Sociedad Matematica Mexicana

IS - 2

ER -