Hermite-Hadamard type integral inequalities for geometric-arithmetically (s,m) convex functions
نویسندگان
چکیده
In this paper, we introduce a definition of geometric-arithmetically \((s,m)\) convex function and give some new inequalities Hermite-Hadamard type for the function. Finally, discuss applications these to special means.
منابع مشابه
Hermite-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 کاملRiemann-Liouville fractional Hermite-Hadamard inequalities. Part II: for twice differentiable geometric-arithmetically s-convex functions
*Correspondence: [email protected]; [email protected] 1School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, P.R. China 2Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, P.R. China Full list of author information is available at the end of the article Abstract Motivated by the definition of geometric-arithmetically s-convex...
متن کاملA generalized form of the Hermite-Hadamard-Fejer type inequalities involving fractional integral for co-ordinated convex functions
Recently, a general class of the Hermit--Hadamard-Fejer inequality on convex functions is studied in [H. Budak, March 2019, 74:29, textit{Results in Mathematics}]. In this paper, we establish a generalization of Hermit--Hadamard--Fejer inequality for fractional integral based on co-ordinated convex functions.Our results generalize and improve several inequalities obtained in earlier studies.
متن کاملFractional Hermite-Hadamard type inequalities for n-times log-convex functions
In this paper, we establish some Hermite-Hadamard type inequalities for function whose n-th derivatives are logarithmically convex by using Riemann-Liouville integral operator.
متن کاملSome 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 کاملذخیره 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: The Journal of Nonlinear Sciences and Applications
سال: 2022
ISSN: ['2008-1898', '2008-1901']
DOI: https://doi.org/10.22436/jnsa.015.04.01