Search Results - "Et, Mikail"
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On some generalized deferred Cesàro means of order β
Published in Mathematical methods in the applied sciences (01-06-2021)“…In this study, using the generalized difference operator Δmn, we introduce the concept of strong Δmn‐deferred Cesàro summability of order β of real sequences…”
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Some results on generalizations of statistical boundedness
Published in Mathematical methods in the applied sciences (01-06-2021)“…In this work, the notion of Δm−statistical boundedness is generalized with respect to α−density and λ−statistical sense. Besides some inclusion theorems…”
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On -statistical convergence of order α
Published in Communications in statistics. Theory and methods (17-07-2020)“…In this article we introduce and examine the concepts of statistical convergence of order α and strong Cesàro summability of order and give some relations…”
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On deferred statistical boundedness of order α
Published in Communications in statistics. Theory and methods (17-12-2022)“…In this paper, we introduce and examine the concept of deferred statistical boundedness of order α and give the relation between statistical boundedness and…”
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Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems
Published in Journal of applied mathematics & computing (01-02-2021)“…In this paper, we propose to investigate a new weighted statistical convergence by applying the Nörlund–Cesáro summability method. Based upon this definition,…”
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On asymptotically lacunary statistical equivalent of order α˜ of difference double sequences
Published in Mathematical methods in the applied sciences (01-12-2022)“…In this article, we introduce and investigate the concepts of Δθm‐asymptotically statistical equivalent of order α˜ and strong Δθm‐asymptotically equivalent of…”
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q-Fibonacci sequence spaces and related matrix transformations
Published in Journal of applied mathematics & computing (01-04-2023)“…In this paper, we define the sequence spaces ℓ p ( F ^ q ) 1 ≤ p < ∞ , ℓ ∞ ( F ^ q ) , c 0 ( F ^ q ) and c ( F ^ q ) by using q -Fibonacci band matrix F ^ q…”
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On fuzzy paranormed spaces
Published in International journal of general systems (02-01-2023)“…It is well-known that Paranormed spaces have more general properties than normed spaces. Until recently, the concept of paranorm has not been considered with…”
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On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties
Published in Symmetry (Basel) (01-09-2023)“…We develop some new sequence spaces p(P(q)) and ∞(P(q)) by using q-Pascal matrix P(q). We discuss some topological properties of the newly defined spaces,…”
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Generalized Cesàro Summable Difference Sequence Spaces
Published in ITM web of conferences (2017)“…Et (M. Et, On some generalized Cesàro difference sequence spaces, İstanbul Üniv. Fen Fak. Mat. Derg. 55/56 (1996/97), 221–229) introduced Cesàro difference…”
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On ideal convergence of sequences via Catalan matrix operator
Published in Mathematical notes (Miskolci Egyetem (Hungary)) (2024)“…Catalan sequence initially introduced by Euler but named after Eugene Catalan has found abundant applications in the fields of probability theory, number…”
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q-Double Cesaro Matrices and q-Statistical Convergence of Double Sequences
Published in National Academy science letters (01-02-2020)“…In this study, we introduce and examine the concepts of q -double Cesaro matrices and q -statistical convergence and q -statistical limit point of double…”
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On (λ,f)-statistical boundedness of order α
Published in Communications in statistics. Theory and methods (02-10-2022)“…The main purpose of this work is to introduce and examine the concept of (λ,f)-statistical boundedness of order α and give the relations between some known…”
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On μ-deferred statistical convergence and strongly deferred summable functions
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2021)“…In this paper we introduce the concepts of strongly deferred Cesàro summable and μ -deferred statistical convergence of real-valued functions x = x ( t ) which…”
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Lacunary statistical and lacunary strongly convergence of generalized difference sequences in intuitionistic fuzzy normed linear spaces
Published in Boletim da Sociedade Paranaense de Matemática (01-01-2020)“…In this article we introduce the concepts of lacunary statistical convergence and lacunary strongly convergence of generalized difference sequences in…”
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Generalized Difference Sequence Spaces of Fractional Order Defined by Orlicz Functions
Published in Communications Series A1 Mathematics & Statistics (01-01-2020)Get full text
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On $S_{\alpha }^{\beta }(\theta ,A,F)-$convergence and strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence
Published in Boletim da Sociedade Paranaense de Matemática (26-12-2022)“…In this paper, we introduce strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence and $S_{\alpha }^{\beta }(\theta ,A,F)-$% convergence with respect to a…”
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On Sequence Spaces Due to lth Order q-Difference Operator and its Spectrum
Published in Iranian journal of science and technology. Transaction A, Science (01-08-2023)“…We present a quantum analog ∇ql of the lth order backward difference operator ∇l and analyze its basic properties. We study the sequence spaces c(∇ql) and…”
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On (λ, I)-Statistical Convergence of Order α of Sequences of Function
Published in Proceedings of the National Academy of Sciences, India, Section A, physical sciences (01-06-2018)“…In this paper, we introduce the concepts of pointwise ( λ , I )-statistical convergence of order α and pointwise w p ( λ , I )-summability of order α . Also…”
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On ( Δ m , I ) -Statistical Convergence of Order α
Published in TheScientificWorld (2014)“…The idea of I -convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we…”
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