NEW OSTROWSKI TYPE INEQUALITIES FOR COORDINATED (S,M)−CONVEX FUNCTIONS IN THE SECOND SENSE

MIGUEL JOSE VIVAS CORTEZ

NEW OSTROWSKI TYPE INEQUALITIES FOR COORDINATED (S,M)−CONVEX FUNCTIONS IN THE SECOND SENSE

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Resumen

In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂ 2 f /∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of . Also, some corollary is presented.

Idioma original	Español (Ecuador)
Publicación	Applied Mathematics and Information Sciences
Estado	Publicada - 1 sep. 2019
Publicado de forma externa	Sí

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http://www.naturalspublishing.com/Article.asp?ArtcID=20364

Citar esto

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title = "NEW OSTROWSKI TYPE INEQUALITIES FOR COORDINATED (S,M)−CONVEX FUNCTIONS IN THE SECOND SENSE",

abstract = "In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂ 2 f /∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of . Also, some corollary is presented.",

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AB - In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂ 2 f /∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of . Also, some corollary is presented.

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