Results 1 to 10 of about 119,067 (266)
A note on the modulus of continuity of a periodic function
Applied Mathematics Letters, 2011 AbstractLet f(x) be a periodic function with period T. In Rivlin (1969) [1] it is claimed that the modulus of continuity is independent of a on [a,a+T]. In this note we show that this is not correct.
Masoud Allame
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On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α [PDF]
E-Journal of Analysis and Applied Mathematics, 2022 The main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.
Hacer Şengül Kandemir +2 more
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Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions.
Kuldib Raj +2 more
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On generalized double almost statistical convergence of weight $g$
Karpatsʹkì Matematičnì Publìkacìï, 2022 The purpose of this paper is to introduce the concept of $\lambda$-double almost statistical convergence of weight $g$, which emerges naturally from the concept of the double almost convergence and $\lambda$-statistical convergence.
E. Savaş
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F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences.
Enno Kolk, Annemai Raidjõe
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Polyanalytic functions with equal modulus [PDF]
Proceedings of the American Mathematical Society, 1969 In [1], M. B. Balk obtains a representation for polyanalytic functions which have constant modulus on some region. Balk's result suggests the more difficult problem of obtaining necessary and sufficient conditions that two polyanalytic functions have equal modulus on some region.
Krajkiewicz, P., Bosch, W.
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On relation between statistical ideal and ideal generated by a modulus function
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 Ideal on an arbitrary non-empty set $\Omega$ it's a non-empty family of subset $\mathfrak{I}$ of the set $\Omega$ which satisfies the following axioms: $\Omega \notin \mathfrak{I}$, if $A, B \in \mathfrak{I}$, then $A \cup B \in \mathfrak{I}$, if $A \in \
D. Seliutin
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Cybernetics and Information Technologies, 2022 The existence of a trade-off between embedding capacity and imperceptibility is a challenge to improve the quality of steganographic images. This research proposes to cross diagonal embedding Pixel Value Differencing (PVD) and Modulus Function (MF ...
Rustad Supriadi +4 more
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On Fractional Smoothness of Modulus of Functions
Annals of Applied Mathematics, 2021 We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary.
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On Modulated Lacunary Statistical Convergence of Double Sequences
Mathematics, 2023 In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
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