Some mean square integral inequalities for preinvexity involving the beta function

Muhammad Shoaib Saleem; Miguel Vivas-Cortez; Sana Sajid

doi:10.22075/IJNAA.2021.24241.2701

Some mean square integral inequalities for preinvexity involving the beta function

Muhammad Shoaib Saleem
, Miguel Vivas-Cortez^*
, Sana Sajid

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and η-convex stochastic process in setting of beta function. Further, we will present some novel results for improved Hölder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.

Idioma original	Inglés
Páginas (desde-hasta)	617-632
Número de páginas	16
Publicación	International Journal of Nonlinear Analysis and Applications
Volumen	12
N.º	Special Issue
DOI	https://doi.org/10.22075/IJNAA.2021.24241.2701
Estado	Publicada - 2021

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© 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications. All rights reserved.

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title = "Some mean square integral inequalities for preinvexity involving the beta function",

abstract = "In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and η-convex stochastic process in setting of beta function. Further, we will present some novel results for improved H{\"o}lder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.",

keywords = "Beta function, Convex stochastic process, Mean square integral inequalities, Preinvex stochastic process, η-convex stochastic process",

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AU - Saleem, Muhammad Shoaib

AU - Vivas-Cortez, Miguel

AU - Sajid, Sana

PY - 2021

Y1 - 2021

N2 - In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and η-convex stochastic process in setting of beta function. Further, we will present some novel results for improved Hölder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.

AB - In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and η-convex stochastic process in setting of beta function. Further, we will present some novel results for improved Hölder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.

KW - Beta function

KW - Convex stochastic process

KW - Mean square integral inequalities

KW - Preinvex stochastic process

KW - η-convex stochastic process

UR - https://www.scopus.com/pages/publications/85117091367

U2 - 10.22075/IJNAA.2021.24241.2701

DO - 10.22075/IJNAA.2021.24241.2701

M3 - Article

AN - SCOPUS:85117091367

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EP - 632

JO - International Journal of Nonlinear Analysis and Applications

JF - International Journal of Nonlinear Analysis and Applications

IS - Special Issue

ER -

Some mean square integral inequalities for preinvexity involving the beta function

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