Some new newton's type integral inequalities for co-ordinated convex functions in quantum calculus

Miguel Vivas-Cortez, Muhammad Aamir Ali, Artion Kashuri, Ifra Bashir Sial, Zhiyue Zhang

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

55 Citas (Scopus)

Resumen

Some recent results have been found treating the famous Simpson's rule in connection with the convexity property of functions and those called generalized convex. The purpose of this article is to address Newton-type integral inequalities by associating with them certain criteria of quantum calculus and the convexity of the functions of various variables. In this article, by using the concept of recently defined q1q2 -derivatives and integrals, some of Newton's type inequalities for co-ordinated convex functions are revealed. We also employ the limits of q1, q2 ! 1?? in new results, and attain some new inequalities of Newton's type for co-ordinated convex functions through ordinary integral. Finally, we provide a thorough application of the newly obtained key outcomes, these new consequences can be useful in the integral approximation study for symmetrical functions, or with some kind of symmetry.

Idioma originalInglés
Número de artículo1476
PublicaciónSymmetry
Volumen12
N.º9
DOI
EstadoPublicada - 8 sep. 2020

Nota bibliográfica

Publisher Copyright:
© 2020 by the authors.

Huella

Profundice en los temas de investigación de 'Some new newton's type integral inequalities for co-ordinated convex functions in quantum calculus'. En conjunto forman una huella única.

Citar esto