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Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients
Mathematics, 2023 Let a={am:m∈N} be a periodic multiplicative sequence of complex numbers and L(s;a), s=σ+it a Dirichlet series with coefficients am. In the paper, we obtain a theorem on the approximation of non-vanishing analytic functions defined in the strip 1 ...
Darius Šiaučiūnas, Monika Tekorė
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On the Convergence of Nekrasov Functions
Annales Henri Poincaré, 2023 AbstractIn this note, we present some results on the convergence of Nekrasov partition functions as power series in the instanton counting parameter. We focus on U(N) $${\mathcal N}=2$$ N = 2 gauge theories in four dimensions with matter ...
Arnaudo P., Bonelli G., Tanzini A.
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A relation between pointwise convergence of functions and convergence of functionals [PDF]
Proceedings of the American Mathematical Society, 1983 We show that if { f n
Brézis, Haïm, Lieb, Elliott H.
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Convergence of Weak*-Scalarly Integrable Functions
Axioms, 2020 Let (Ω,F,μ) be a complete probability space, E a separable Banach space and E′ the topological dual vector space of E. We present some compactness results in LE′1E, the Banach space of weak*-scalarly integrable E′-valued functions.
Noureddine Sabiri, Mohamed Guessous
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Joint Approximation of Analytic Functions by Shifts of Lerch Zeta-Functions
Mathematics, 2023 In this paper, we consider the simultaneous approximation of tuples of analytic functions by tuples of shifts of Lerch zeta-functions with arbitrary parameters.
Antanas Laurinčikas +2 more
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Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions
Journal of Mathematics, 2021 Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
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$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces
Communications in Advanced Mathematical Sciences, 2022 In this work, we discuss various types of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions. Also, we introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\mathcal ...
Mukaddes Arslan +2 more
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Statistical Convergence in Function Spaces [PDF]
Abstract and Applied Analysis, 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. Also, we discuss a statistical approach to recently introduced notions of strong uniform convergence and exhaustiveness.
CASERTA, Agata +2 more
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Convergence of functions: equi-semicontinuity [PDF]
Transactions of the American Mathematical Society, 1983 We study the relationship between various types of convergence for extended real-valued functionals engendered by the associated convergence of their epigraphs; pointwise convergence being treated as a special case. A condition of equi-semicontinuity is introduced and shown to be necessary and sufficient to allow the passage from one type of ...
Dolecki, S. +2 more
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On Multivariate Bernstein Polynomials
Mathematics, 2020 In this paper, we first revisit and bring together as a sort of survey, properties of Bernstein polynomials of one variable. Secondly, we extend the results from one variable to several ones, namely—uniform convergence, uniform convergence of the ...
Mama Foupouagnigni +1 more
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