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Constants in inequalities for mean values of some periodic arithmetic functions

Moscow University Mathematics Bulletin, 2008
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A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function

Mathematika, 1995
The author considers complex-valued multiplicative functions \(g\), satisfying \(|g|\leq 1\), and \(g(p)\in {\mathcal D}\) for all primes \(p\), where \({\mathcal D}\) is a fixed, closed, convex proper subset of \(\Delta= \{z\in \mathbb{C}\), \(|z|\leq 1\}\), containing the point 0, with perimeter \(L({\mathcal D})\). The author is interested in \[ K_0
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Exploring properties and inequalities for geometrically arithmetically-Cr-convex functions with Cr-order relative entropy

Information Sciences
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Asfand Fahad   +4 more
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On generalization of Hermite–Hadamard–Mercer inequalities for interval-valued functions with generalized geometric–arithmetic convexity

International Journal of Geometric Methods in Modern Physics
In this paper, we introduce a new convexity notion for inter-valued functions, known as Geometrically–Arithmetically Cr-[Formula: see text]-convex functions (abbreviated as GA-Cr-[Formula: see text]-CFs) and explore its properties. The family of GA-Cr-[Formula: see text]-CFs simultaneously covers the family of GA-CFs, GA-[Formula: see text]-CFs and GA-
Asfand Fahad   +3 more
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The Arithmetic Optimization Algorithm

Computer Methods in Applied Mechanics and Engineering, 2021
Laith Mohammad Abualigah   +2 more
exaly  

More than number sense: The additional role of executive functions and metacognition in arithmetic

Journal of Experimental Child Psychology, 2019
Elien Bellon, Wim Fias, Bert De Smedt
exaly  

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