Results 1 to 10 of about 53,856 (206)

Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions

open access: yesCumhuriyet Science Journal, 2022
In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
doaj   +3 more sources

On Some Intermediate Mean Values [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class of mean values where are continuously differentiable convex functions satisfying the relation ,  .
Slavko Simic
doaj   +4 more sources

Hermite-Hadamard Type Inequalities For Two Times Differentiable Arithmetic-Harmonically Convex Functions

open access: yesCumhuriyet Science Journal, 2019
In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
doaj   +4 more sources

Fractional Integral Inequalities for Some Convex Functions [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
doaj   +3 more sources

Inequalities for the arithmetical functions of Euler and Dedekind [PDF]

open access: yesCzechoslovak Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
openaire   +2 more sources

On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions.
Merve Avcı Ardıç   +2 more
doaj   +1 more source

Some inequalities for geometrically-arithmetically h-convex functions [PDF]

open access: yesCreative Mathematics and Informatics, 2014
In this paper, we consider a class of geometrically convex function which is called geometrically-arithmetically h-convex function. Some inequalities of Hermite-Hadamard type for geometrically-arithmetically h-convex functions are derived. Several special cases are discussed.
MUHAMMAD ASLAM NOOR   +2 more
openaire   +2 more sources

Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications

open access: yesMathematics, 2022
In this paper, we establish new generalizations of the Hermite-Hadamard-type inequalities. These inequalities are formulated in terms of modules of certain powers of proper functions. Generalizations for convex functions are also considered.
Hari M. Srivastava   +2 more
doaj   +1 more source

Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended s,m-prequasiinvex mixed partial derivatives

open access: yesAlexandria Engineering Journal, 2023
This article introduces extended (s,m)-prequasiinvex functions on coordinates, a new form of generalized convex function. Using a previously established identity, we derive new fractional Hermite-Hadamard type integral inequalities for functions whose ...
Wedad Saleh   +4 more
doaj   +1 more source

Refining and reversing the weighted arithmetic–geometric mean inequality involving convex functionals and application for the functional entropy [PDF]

open access: yesJournal of Inequalities and Applications, 2020
AbstractIn this paper, we present some refinements and reverses for some inequalities involving the weighted arithmetic mean and the weighted geometric mean of two convex functionals. Inequalities involving the Heinz functional mean are also obtained.
Mustapha Raïssouli, Mashael Almozini
openaire   +3 more sources

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