Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
نویسندگان
چکیده مقاله:
In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
منابع مشابه
A Note on the Hermite–hadamard Inequality for Convex Functions on the Co–ordinates
In this paper, we obtain some new Hermite-Hadamard-type inequalities for convex functions on the co-ordinates. We conclude that the results obtained in this work are the refinements of the earlier results.
متن کاملOn generalized Hermite-Hadamard inequality for generalized convex function
In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
متن کاملHERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR EXTENDED s-CONVEX FUNCTIONS AND OPERATOR EXTENDED s-CONVEX FUNCTIONS ON THE CO-ORDINATES
In the paper, authors propose the concepts of operator extended s-convex function and operator extended s-convex on the co-ordinates, and establish some new HermiteHadamard type inequalities for operator extended s-convex functions and operator extended s-convex functions on the co-ordinates.
متن کاملSome Hermite-hadamard Type Inequalities for Functions Whose Partial Derivatives in Absolute Value Are Preinvex on the Co-ordinates
In this paper we point out some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are preinvex on the co-ordinates on rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.
متن کاملHermite-Hadamard Inequality on Time Scales
Recently, new developments of the theory and applications of dynamic derivatives on time scales were made. The study provides an unification and an extension of traditional differential and difference equations and, in the same time, it is a unification of the discrete theory with the continuous theory, from the scientific point of view. Moreover, it is a crucial tool in many computational and ...
متن کاملHermite-Hadamard Type Inequalities for MφA-Convex Functions
This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after we have constituted Hermite-Hadamard type inequalities for this class of functions. Finally the identity has been revealed for ...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 8 شماره 1
صفحات 47- 60
تاریخ انتشار 2017-04-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023