Results 21 to 30 of about 81,733,805 (232)
On two inequalities for the composition of arithmetic functions [PDF]
, 2012 A paper about two inequalities for the composition of arithmetic ...
József Sándor, Sandor, Jozsef
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Some new arithmetic functions [PDF]
Notes on Number Theory and Discrete MathematicsWe 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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GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
, 2002 This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
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On certain bounds for the divisor function [PDF]
Notes on Number Theory and Discrete MathematicsWe offer various bounds for the divisor function d(n), in terms of n, or other arithmetical functions.
József Sándor
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A note on the approximation of divisor functions [PDF]
Notes on Number Theory and Discrete MathematicsWe offer an arithmetic proof of a result from the recent paper [1]. A more general result is provided, too.
József Sándor
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A note on newly introduced arithmetic functions φ+ and σ+ [PDF]
Notes on Number Theory and Discrete MathematicsIn a recent paper [7], the authors introduced new arithmetic functions φ⁺, σ⁺ related to the classical functions φ, and σ, respectively. In this note, we study the behavior of Σ_{n≤x, ω(n)=2}(φ⁺-φ)(n), and Σ_{n≤x, ω(n)=2}(σ⁺-σ)(n), for any real number x ...
Sagar Mandal
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Fractal and Fractional, 2022 The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari +3 more
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Determination of Bounds for the Jensen Gap and Its Applications
Mathematics, 2021 The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah +2 more
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Some complementary inequalities to Jensen’s operator inequality
Journal of Inequalities and Applications, 2018 In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions.
Jadranka Mićić +2 more
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