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Injectiveness and Discontinuity of Multiplicative Convex Functions
Mathematics, 2021 In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez +3 more
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Local distributions of multiplicative functions
Lietuvos Matematikos Rinkinys, 1999 In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered.
Rimantas Skrabutėnas
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Completely Multiplicative Automatic Functions [PDF]
Integers, 2011 AbstractWe show that a completely multiplicative automatic function which does not have 0 as a value is almost periodic.
Jan-Christoph Schlage-Puchta
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MathematicsIntegral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan +3 more
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On the multiplicative group generated by {[√2 n]/n | n∈ℕ}. V [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let f,g be completely multiplicative functions, |f(n)|=|g(n)|=1 (n∈ℕ). Assume that 1/logxΣₙ≤ₓ |g([√2n])-Cf(n)| / n →0 (x→∞). Then f(n)=g(n)=n^{iτ}, C=(√2)^{τ}, τ∈ℝ.
I. Kátai, B. M. Phong
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Multiplicative functionals on function Algebras [PDF]
Revista Matemática Complutense, 1988 It is in general of interest to identify certain characters of the algebra A of all real analytic or real \(C^ n\)-functions on some real Banach space E as point evaluations at some point of E. The authors prove a general theorem in this direction. Some applications of this theorem are cases where every character is the point evaluation.
Gómez Gil, Javier, Llavona, José G.
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The multiplicity function of galaxies [PDF]
Astronomy & Astrophysics, 2003 10 pages, 10 figures.
LONGO, GIUSEPPE +4 more
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The Spectrum of Multiplicative Functions [PDF]
The Annals of Mathematics, 2001 Let S be a subset of the unit disk, and let F(s) denote the class of completely multiplicative functions f such that f(p) is in S for all primes p. The authors' main concern is which numbers arise as mean-values of functions in F(s). More precisely, let Gamma_N(S) = {1/N sum_{n <= N} f(n): f in F(S)} and Gamma(S) = lim_{N -> infinity} Gamma_N(s).
Granville, Andrew, Soundararajan, K.
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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions
Journal of Inequalities and Applications, 2023 In this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established.
Serap Özcan, Saad Ihsan Butt
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Multiple functions of USP18 [PDF]
Cell Death & Disease, 2016 Since the discovery of the ubiquitin system and the description of its important role in the degradation of proteins, many studies have shown the importance of ubiquitin-specific peptidases (USPs). One special member of this family is the USP18 protein (formerly UBP43).
Honke, Nadine +4 more
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