Some fractional Hermite–Hadamard-type integral inequalities with s-$(\alpha,m)$-convex functions and their applications

نویسندگان

چکیده

Abstract Under the new concept of s - $(\alpha,m)$ ( α , m ) -convex functions, we obtain some Hermite–Hadamard inequalities with an function. We use these to estimate Riemann–Liouville fractional integrals second-order differentiable convex functions enrich Hermite–Hadamard-type inequalities. give applications special means.

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

Some integral inequalities of Simpson type for GA-"-convex functions

We introduce a new concept “GA-"-convex function” and establish some inteNote 1: Red parts indicate major changes. Please check them carefully. gral inequalities of Simpson type for GA-"-convex functions.

متن کامل

Remarks on some inequalities for s-convex functions and applications

holds for all x, y ∈ [,∞), λ ∈ [, ] and for some fixed s ∈ (, ]. The class of s-convex functions in the second sense is usually denoted by K s . It can be easily seen that for s =  s-convexity reduces to ordinary convexity of functions defined on [,∞). It is proved in [] that all functions from K s , s ∈ (, ) are nonnegative. Similarly, a function f : [,∞)→ R is said to be s-concav...

متن کامل

ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

In this paper, a new general identity for differentiable mappings via Riemann-Liouville fractional integrals has been defined. By using of this identity, author has obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolutely value at certain powers are s-convex in the second sense.

متن کامل

Some Integral Inequalities of Hermite-Hadamard Type for Multiplicatively s-Preinvex Functions

In this paper, we establish integral inequalities of Hermite-Hadamard type for multiplicativelys-preinvex functions. We also obtain some new inequalities involving multiplicative integralsby using some properties of multiplicatively s-preinvex and preinvex functions.

متن کامل

Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions

We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered.

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: Advances in Difference Equations

سال: 2021

ISSN: ['1687-1839', '1687-1847']

DOI: https://doi.org/10.1186/s13662-021-03231-0