Results 1 to 10 of about 1,052 (202)

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

Sahand 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, Ahmet Akdemir, Erhan Set   +2 more
doaj   +4 more sources

Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions

Cumhuriyet 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

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

Mathematics, 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, Sana Mehrez, Sergei M. Sitnik   +2 more
doaj   +3 more sources

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
doaj   +2 more sources

Inequalities involving arithmetic functions

Lithuanian Mathematical Journal
This paper presents a brief survey of the most important and the most remarkable inequalities involving the basic arithmetic functions.
Stoyan Dimitrov
exaly   +4 more sources

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
exaly   +2 more sources

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

Cumhuriyet 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]

Қарағанды 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]

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

Jensen Functional, Quasi-Arithmetic Mean and Sharp Converses of Hölder’s Inequalities [PDF]

Mathematics, 2021
In this article, we give sharp two-sided bounds for the generalized Jensen functional Jn(f,g,h;p,x). Assuming convexity/concavity of the generating function h, we give exact bounds for the generalized quasi-arithmetic mean An(h;p,x). In particular, exact bounds are determined for the generalized power means in terms from the class of Stolarsky means ...
Slavko Simić, Vesna Todorčević
openaire   +3 more sources