Results 71 to 80 of about 161 (125)

Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences

ITM Web of Conferences, 2018
The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1].
Et Mikail, Şengül Hacer, Çınar Muhammed   +2 more
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On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals

Abstract and Applied Analysis, 2013
Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the ...
Pratulananda Das, Kaustubh Dutta, Vatan Karakaya, Sanjoy Ghosal   +3 more
doaj   +1 more source

Lacunary statistically \(\phi \)-convergence

, 2019
Summary: In this paper by using the lacunary sequence and Orlicz function \(\phi \), we introduce a new concept of lacunary statistically \(\phi \)-convergence, as a generalization of the statistical \(\phi\)-convergence and \(\phi\)-convergence. Based on this concepts, we introduce a new sequence space \( S_{\theta}-\phi\) and investigate some of its ...
Savas, Ekrem, Debnath, Shyamal
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Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Journal of Mathematical Sciences and Modelling, 2019
In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
doaj   +1 more source

Ideal convergence generated by double summability methods

Demonstratio Mathematica, 2016
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
doaj   +1 more source

Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence. [PDF]

Ann PDE, 2023
Colombo M, Crippa G, Sorella M.
europepmc   +1 more source

Ideal (I₂) Convergence in Fuzzy Paranormed Spaces for Practical Stability of Discrete-Time Fuzzy Control Systems Under Lacunary Measurements

Axioms
We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen, Hasan Öğünmez   +1 more
doaj   +1 more source

A Complete Review of Automatic Detection, Segmentation, and Quantification of Neovascularization in Optical Coherence Tomography Angiography Images. [PDF]

Diagnostics (Basel), 2023
Tun YZ, Aimmanee P.
europepmc   +1 more source

DOUBLE WEIGHTED LACUNARY ALMOST STATISTICAL CONVERGENCE OF ORDER α [PDF]

Romanian Journal of Mathematics and Computer Science, 2016
In this paper, we define and study the concept of double weighted lacunary almost statistical convergence of order α. Further, some inclusion relations have been examined.
SUKRAN KONCA, EKREM SAVAS, SELMAN EKIN
doaj  

On Generalizations of Statistical Convergence and Lacunary Statistical Convergence in Neutrosophic Normed Spaces

Mathematical Notes
The idea of statistical convergence was formerly given the name ``almost convergence'' by A. Zygmund in the first edition of his celebrated monograph, published in Warsaw in 1935 (see [\textit{A. Zygmund}, Trigonometric series. Volumes I and II combined. With a foreword by Robert Fefferman. 3rd ed.
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