Results 11 to 20 of about 53,918 (234)

Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions

Turkish Journal of Analysis and Number Theory, 2019
In this work, by using an integral identity together with both the Holder integral inequality and the power-mean integral inequality we establish several new inequalities for three-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means.
Kerim Bekar
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Some integral inequalities for operator arithmetic-geometrically convex functions [PDF]

, 2015
In this paper, we introduce the concept of operator arithmetic-geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results.
Taghavi, Ali, Darvish, Vahid, Nazari, Haji Mohammad   +2 more
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On Some Intermediate Mean Values [PDF]

International 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

Inequalities for multiplicative arithmetic functions [PDF]

, 2011
We study arithmetic inequalities for multiplicative, sub(super)-multiplicative, sub(super)-homogeneous functions. Applications for the classical arithmetic functions are pointed out.
József Sándor
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Some new Hermite-Hadamard-like type inequalities for twice differentiable geometric-arithmetically s-convex functions

Applied Mathematical Sciences, 2013
In this paper, we establish some new Hermite-Hadamard-type inequalities for twice differentiable geometric-arithmetically s-convex functions.
Jaekeun Park
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Inequalities between some arithmetic functions, II [PDF]

Notes on Number Theory and Discrete Mathematics
As a continuation of Part I (see [1]), we offer new inequalities for classical arithmetic functions such as the Euler's totient function, the Dedekind's psi function, the sum of the positive divisors function, the number of divisors function, extended ...
Krassimir Atanassov, József Sándor, Mladen Vassilev-Missana   +2 more
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Some new Inequalities for Differentiable Arithmetic-Harmonically Convex Functions [PDF]

Kragujevac Journal of Mathematics
In this study, by using an integral identity together with both the Hölder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.
MAHIR KADAKAL, PRAVEEN AGARWAL, İMDAT İŞCAN   +2 more
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Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications

Filomat, 2018
In this paper, the notion of geometrically symmetric functions is introduced. A new identity involving geometrically symmetric functions is established, and by using the obtained identity, the H?lder integral inequality and the notion of geometrically-arithmetically convexity, some new Fej?r type integral inequalities are presented ...
Latif, MA, Dragomir, Sever S, Momoniat, E   +2 more
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Hermite-Hadamard type integral inequalities for geometric-arithmetically (s,m) convex functions

Journal of Nonlinear Sciences and Applications, 2022
X.-Li. Cheng, H.-W. Zuo, Z.-Q. Hua
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On an inequality for additive arithmetic functions [PDF]

Acta Arithmetica, 1975
Jonas Kubilius
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