Results 1 to 10 of about 54,099 (126)

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

Alexandria 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, Abdelghani Lakhdari, Adem Kiliçman, Assia Frioui, Badreddine Meftah   +4 more
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On certain arithmetical products involving the divisors of an integer [PDF]

Notes on Number Theory and Discrete Mathematics
We study the arithmetical products Π d^d, Πd^{1/d} and Πd^{log d}, where d runs through the divisors of an integer n>1.
József Sándor
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On HT-convexity and Hadamard-type inequalities

Journal of Inequalities and Applications, 2020
In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic ...
Shu-Ping Bai, Shu-Hong Wang, Feng Qi
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Some new arithmetic functions [PDF]

Notes on Number Theory and Discrete Mathematics
We introduce and study some new arithmetic functions, connected with the classical functions φ (Euler's totient), ψ (Dedekind's function) and σ (sum of divisors function).
József Sándor, Krassimir Atanassov
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On Fejér’s inequality: generalizations and applications

Journal of Inequalities and Applications, 2023
This paper deals with generalizations and refinements of Fejér’s inequality with some new applications. We introduce a real mapping M f ω ( t ) $\mathcal{M}_{f}^{\omega}(t)$ and obtain some its functional properties.
Mohsen Rostamian Delavar
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