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On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α [PDF]

open access: yesE-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
doaj   +1 more source

Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces [PDF]

open access: yesSahand 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
doaj   +1 more source

On generalized double almost statistical convergence of weight $g$

open access: yesKarpatsʹkì 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
doaj   +1 more source

Polyanalytic functions with equal modulus [PDF]

open access: yesProceedings 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.
openaire   +1 more source

F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]

open access: yesProceedings 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
doaj   +1 more source

Modulus support functionals, Rajchman measures and peak functions [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
11 pages in ...
L. Golinskii, V. Kadets
openaire   +3 more sources

On relation between statistical ideal and ideal generated by a modulus function

open access: yesVisnik 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
doaj   +1 more source

Optimization of Cross Diagonal Pixel Value Differencing and Modulus Function Steganography Using Edge Area Block Patterns

open access: yesCybernetics 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
doaj   +1 more source

Modulus in Banach function spaces [PDF]

open access: yesArkiv för Matematik, 2017
Moduli of path families are widely used to mark curves which may be neglected for some applications. We introduce ordinary and approximation modulus with respect to Banach function spaces. While these moduli lead to the same result in reflexive spaces, we show that there are important path families (like paths tangent to a given set) which can be ...
Honzlová Exnerová, Vendula   +2 more
openaire   +2 more sources

The modulus of Whittaker functions [PDF]

open access: yesIntegral Transforms and Special Functions, 2020
The paper discusses some properties of the modulus $|W_{k,m}(z)|$ of the Whittaker function $W_{k,m}(z)$. In particular, completely monotone functions expressed in terms of $|W_{k,m}(z)|$ are found. The results follow from an integral representation for products of Whittaker functions due to Erdélyi (1938).
openaire   +2 more sources

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