ON A GENERALIZATION OF STRONGLY η-CONVEX FUNCTIONS VIA FRACTAL SETS

نویسندگان

چکیده

The purpose of this paper is to study a generalization strongly $\eta$-convex functions using the fractal calculus developed by Yang \cite{Yang}, namely generalized function. Among other results, we obtain some Hermite-Hadamard and Fej\'er type inequalities for class functions.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the quadratic support of strongly convex functions

In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.

متن کامل

Notions of generalized s-convex functions on fractal sets

holds, then f is called a generalized convex function on I []. In α = , we have convex function, convexity is defined only in geometrical terms as being the property of a function whose graph bears tangents only under it []. The convexity of functions plays a significant role in many fields, for example, in biological system, economy, optimization, and so on [–]. In recent years, the fract...

متن کامل

A remark on multiobjective stochastic optimization via strongly convex functions

Many economic and financial applications lead (from the mathematical point of view) to deterministic optimization problems depending on a probability measure. These problems can be static (one stage), dynamic with finite (multistage) or infinite horizon, single objective or multiobjective.We focus on one-stage case in multiobjective setting. Evidently, well known results from the deterministic ...

متن کامل

ON STRONGLY h-CONVEX FUNCTIONS

We introduce the notion of strongly h-convex functions (defined on a normed space) and present some properties and representations of such functions. We obtain a characterization of inner product spaces involving the notion of strongly h-convex functions. Finally, a Hermite–Hadamard–type inequality for strongly h-convex functions is given.

متن کامل

on the quadratic support of strongly convex functions

in this paper, we first introduce the notion of $c$-affine functions for $c> 0$.then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. moreover, a hyers–-ulam stability result for strongly convex functions is shown.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Fractals

سال: 2021

ISSN: ['1793-6543', '0218-348X']

DOI: https://doi.org/10.1142/s0218348x21502030