Search Results - "Kadak, Uğur"
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1
Multivariate neural network interpolation operators
Published in Journal of computational and applied mathematics (01-11-2022)“…In this paper, we introduce and study fractional neural network interpolation operators activated by a sigmoidal function belonging to the extended class of…”
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2
Fractional sampling operators of multivariate fuzzy functions and applications to image processing
Published in Applied soft computing (01-01-2023)“…In this work, we introduce a novel family of sampling-type operators of multivariate fuzzy-valued functions based on the fractional mean values of the…”
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3
Fractional type multivariate neural network operators
Published in Mathematical methods in the applied sciences (01-02-2023)“…In this paper, we introduce a novel family of multivariate neural network operators involving Riemann‐Liouville fractional integral operator of order α. Their…”
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4
On weighted statistical convergence based on (p,q)-integers and related approximation theorems for functions of two variables
Published in Journal of mathematical analysis and applications (15-11-2016)“…In this work, we first define a difference operator Δp,q[m] of natural order m with respect to (p,q)-integers. We then introduce the concepts of…”
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5
Weighted statistical convergence based on generalized difference operator involving (p,q)-gamma function and its applications to approximation theorems
Published in Journal of mathematical analysis and applications (15-04-2017)“…In this work, following a new approach of Baliarsingh (2016) [6], we introduce the concepts of statistically weighted ΨΔp,q-summability, weighted…”
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6
Generalized Statistically Almost Convergence Based on the Difference Operator which Includes the (p, q)-Gamma Function and Related Approximation Theorems
Published in Resultate der Mathematik (01-03-2018)“…This paper is devoted to extend the notion of almost convergence and its statistical forms with respect to the difference operator involving ( p , q )-gamma…”
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7
Fractional type multivariate sampling operators
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2021)“…In this paper we introduce a novel extension of sampling operators by replacing the sample values ( f ( k / w ) ) k = 0 n with its fractional average (mean)…”
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8
Generalized Weighted Invariant Mean Based on Fractional Difference Operator with Applications to Approximation Theorems for Functions of Two Variables
Published in Resultate der Mathematik (01-11-2017)“…In the present article, following a very recent and new approach of Baliarsingh (Alexandria Eng. J., 55(2):1811–1816, 2016 ), we introduce the notions of…”
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9
Weighted Statistical Relative Invariant Mean in Modular Function Spaces with Related approximation Results
Published in Numerical functional analysis and optimization (18-08-2018)“…The idea of statistical relative convergence on modular spaces has been introduced by Orhan and Demirci. The notion of σ-statistical convergence was introduced…”
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10
Relative weighted almost convergence based on fractional-order difference operator in multivariate modular function spaces
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2019)“…In the present paper, we introduce the concept of relative weighted almost convergence and its weighted statistical extensions in multivariate modular function…”
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11
Statistical weighted B-summability and its applications to approximation theorems
Published in Applied mathematics and computation (01-06-2017)“…In this paper, which deals essentially with various summability concepts and summability techniques and shows how these concepts and techniques lead to a…”
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12
On relative weighted summability in modular function spaces and associated approximation theorems
Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01-12-2017)“…The purpose of the present article is to extend the notion of relative convergence on modular function spaces using the weighted double ( α , β ) -density. We…”
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13
Quantitative Estimates for Neural Network Operators Implied by the Asymptotic Behaviour of the Sigmoidal Activation Functions
Published in Mediterranean journal of mathematics (01-10-2022)“…In this paper, for the neural network (NN) operators activated by sigmoidal functions, we will obtain quantitative estimates in direct connection with the…”
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14
Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field
Published in TheScientificWorld (01-01-2014)“…The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Therefore the reader may…”
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15
Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties
Published in Numerical functional analysis and optimization (04-06-2021)“…In this paper, we introduce a novel extension of the Bernstein-Kantorovich-Stancu type operator of degree n with the help of multiple shape parameters…”
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16
On multiplicative difference sequence spaces and related dual properties
Published in Boletim da Sociedade Paranaense de Matemática (01-01-2017)“…The main purpose of the present article is to introduce the multiplicative difference sequence spaces of order $m$ by defining the multiplicative difference…”
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Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order
Published in International Journal of Mathematics and Mathematical Sciences (2015)“…We generalize the lacunary statistical convergence by introducing the generalized difference operator Δ ν α of fractional order, where α is a proper fraction…”
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18
Chlodowsky type generalization of (p, q)-Szász operators involving Brenke type polynomials
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-10-2018)“…In this paper, we introduce a Chlodowsky variant of the Szász operators by means of the ( p , q )-integers as well as of the ( p , q )-Gaussian binomial…”
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19
Matrix Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field
Published in TheScientificWorld (01-01-2014)“…In some cases, the most general linear operator between two sequence spaces is given by an infinitematrix. So the theory of matrix transformations has always…”
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20
Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field
Published in Journal of probability and statistics (01-01-2016)“…The spaces ω 0 p , ω p , and ω ∞ p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the…”
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