On φ–Convex Stochastic Processes and Integral Inequalities Related

Miguel J. Vivas-Cortez; Artion Kashuri; Jorge Eliecer Hernández Hernández

doi:10.18576/amis/140601

On φ–Convex Stochastic Processes and Integral Inequalities Related

Miguel J. Vivas-Cortez^*, Artion Kashuri, Jorge Eliecer Hernández Hernández

^*Autor correspondiente de este trabajo

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2 Citas (Scopus)

Resumen

In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.

Idioma original	Inglés
Páginas (desde-hasta)	947-956
Número de páginas	10
Publicación	Applied Mathematics and Information Sciences
Volumen	14
N.º	6
DOI	https://doi.org/10.18576/amis/140601
Estado	Publicada - nov. 2020

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Publisher Copyright:
© 2020. NSP Natural Sciences Publishing Cor.

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Financiadores	Número del financiador
Consejo de Desarrollo Científico
Humanistic and Technological Development Council
Universidad Centroccidental Lisandro Alvarado

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abstract = "In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.",

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author = "Vivas-Cortez, {Miguel J.} and Artion Kashuri and Hern{\'a}ndez, {Jorge Eliecer Hern{\'a}ndez}",

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AU - Vivas-Cortez, Miguel J.

AU - Kashuri, Artion

AU - Hernández, Jorge Eliecer Hernández

PY - 2020/11

Y1 - 2020/11

N2 - In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.

AB - In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.

KW - Mean square integral inequalities

KW - Stochastic processes

KW - ϕ–convexity

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On φ–Convex Stochastic Processes and Integral Inequalities Related

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