Results 41 to 50 of about 3,783,192 (139)

δ‐Almost Periodic Vectors for Bounded Linear Operators: Geometric and Dynamical Structure

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We introduce δ‐almost periodic vectors for bounded linear operators on Banach spaces, defined by uniform recurrence to the base point within a fixed tolerance δ ≥ 0. This yields a quantitative relaxation of the case δ = 0. We develop basic structural properties of the classes APδ(T), including monotonicity in δ, positive homogeneity, forward invariance
Hadi Obaid Alshammari, Otmane Benchiheb, Marko Kostic   +2 more
wiley   +1 more source

On Modulus Statistical Convergence in Partial Metric Spaces

Axioms
Modulus statistical convergence has been studied in very different general settings such as topological spaces and uniform spaces. In this manuscript, modulus statistical convergence is defined and studied in partial metric spaces.
Francisco Javier García-Pacheco, Ramazan Kama   +1 more
doaj   +1 more source

Weighted Statistical Equivalence in Probability for Comparing Positive Linear Approximation Processes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang, Mehmet Gürdal, Ömer Kişi, Qing-Bo Cai, Smritijit Sen   +4 more
wiley   +1 more source

Modulated convergence: a deferred approach

Demonstratio Mathematica
In this paper, we further develop the study of the interplay between statistical and strong Cesàro convergence modulated by a modulus function, as initiated in the papers by Saavedra et al. and Romero de la Rosa.
Et Mikail, León-Saavedra Fernando, Temizsu Fatih   +2 more
doaj   +1 more source

Statistical Convergence for Grünwald–Letnikov Fractional Differences: Stability, Approximation, and Diagnostics in Fuzzy Normed Spaces

Axioms
We present a unified framework for fuzzy statistical convergence of Grünwald–Letnikov (GL) fractional differences in Bag–Samanta fuzzy normed linear spaces, addressing memory effects and nonlocality inherent to fractional-order models.
Hasan Öğünmez, Muhammed Recai Türkmen   +1 more
doaj   +1 more source

Exploring the Z‐Spaces of Double Sequences of Scalars: Z2‐Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduced and investigated the spaces Z2u,w;X of double sequences as natural extensions of the classical sequence spaces Zu,w;X. We characterized the β‐duals of these spaces and obtained explicit representations in terms of multiplier spaces and difference‐type conditions involving the operators Δkm+.
Cenap Duyar, Gökhan Işık, Smritijit Sen   +2 more
wiley   +1 more source

Investigation of p‐Summable Fibonacci‐Type Difference Sequence Spaces and Their Duals via Modulus Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce new Fibonacci‐type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p = (pk) is an arbitrary bounded sequence of positive real numbers. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix G(u, v) belong to ...
Sunil K. Sharma, Ravi Kumar, Faruk Özger, Merve Ersoy, Smritijit Sen   +4 more
wiley   +1 more source

Outlier-Robust Convergence of Integer- and Fractional-Order Difference Operators in Fuzzy-Paranormed Spaces: Diagnostics and Engineering Applications

Fractal and Fractional
We develop a convergence framework for Grünwald–Letnikov (GL) fractional and classical integer difference operators acting on sequences in fuzzy-paranormed (fp) spaces, motivated by data that are imprecise and contain sporadic outliers.
Muhammed Recai Türkmen
doaj   +1 more source

Analytic and Statistical Convergence Properties in Multiplicative Metric Spaces: A Logarithmic Perspective

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we revisit the structure of multiplicative metric spaces and investigate analytic notions such as convergence, Cauchy sequences, boundedness, and density within this framework. We extend these concepts to their statistical counterparts, including statistical convergence, statistical Cauchy sequences, statistical boundedness, and ...
Listán García María C, Ömer Kişi, Mehmet Gürdal, Selim Çetin, Pramita Mishra   +4 more
wiley   +1 more source

Statistical Convergence and Strong Cesàro Sumable Sequences [PDF]

El presente trabajo aborda el estudio de la convergencia estadística y su vínculo con las sucesiones cesàro-sumables por medio de funciones módulo que satisfacen ciertas condiciones de densidad natural y propiedades del análisis matemático, como lo son ...
Castañeda Hortúa, Juan Felipe
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