Results 1 to 10 of about 93 (70)
Ascoli-type theorems in the cone metric space setting
Journal of Inequalities and Applications, 2014 We give some necessary and sufficient conditions for (global) continuity of the limit of a pointwise convergent net of cone metric space-valued functions, defined on a Hausdorff topological space, in terms of weak filter exhaustiveness. In this framework,
A. Boccuto, X. Dimitriou
semanticscholar +4 more sources
Ideal quasi-Cauchy sequences [PDF]
Journal of Inequalities and Applications, 2012 An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. A sequence (xn) of real numbers is said to be I-convergent to a real number L if for each ε>0, the set {n:|xn−L|≥ε} belongs ...
H. Cakalli, B. Hazarika
semanticscholar +2 more sources
Approximation by statistical convergence with respect to power series methods
Hacettepe Journal of Mathematics and Statistics, 2022 In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation
Nilay Şahin Bayram, S. Yıldız
semanticscholar +1 more source
A GENERALIZATION OF TRIPLE STATISTICAL CONVERGENCE IN TOPOLOGICAL GROUPS
International Journal of Apllied Mathematics, 2022 In this paper, we introduce a class of summability methods that can be applied to λ-triple statistical convergence in topological groups and we show some interesting results.
Carlos Granados, A. Das
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Veterinary Dermatology, Volume 34, Issue 2, Page 91-98, April 2023., 2023 Background – Atopic dermatitis (AD) is one of the most common skin diseases in small animal practice. Allergen immunotherapy (AIT) is the only curative treatment for the disease, and oral, subcutaneous and intralymphatic administration of allergens are commonly employed.
Ralf S. Mueller +9 more
wiley +1 more source
A note on convergence theorems for integrals
Miskolc Mathematical Notes, 2021 In this study we investigate the convergence theorems such as bounded convergence theorem, Fatou’s lemma, monotone convergence theorem and dominated convergence theorem for measurable functions depending upon the concept of statistical convergence.
T. Tunç, Alper Erdem
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A variation of the class of statistical γ covers
Topological Algebra and its Applications, 2023 In this article, we introduce s-s-γ\gamma cover using the notion of star operator, which is an extension of the previous results on s-γ\gamma covers.
Bal Prasenjit, Rakshit Debjani
doaj +1 more source
Statistical summability through a lacunary sequence in locally solid Riesz spaces
Journal of Inequalities and Applications, 2012 In this paper, we introduce the concepts of lacunary statistical τ-convergence, lacunary statistically τ-bounded and lacunary statistically τ-Cauchy in the framework of locally solid Riesz spaces.
S. Mohiuddine, M. Alghamdi
semanticscholar +2 more sources
Statistical convergence through de la Vallée-Poussin mean in locally solid Riesz spaces
Advances in Differential Equations, 2013 The notion of statistical convergence was defined by Fast (Colloq. Math. 2:241-244, 1951) and over the years was further studied by many authors in different setups. In this paper, we define and study statistical τ-convergence, statistically τ-Cauchy and
S. Mohiuddine, A. Alotaibi, M. Mursaleen
semanticscholar +2 more sources
Triangular ideal relative convergence on modular spaces and Korovkin theorems
, 2023 In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our
Yildiz, Sevda, Cinar, Selin
core +1 more source