The Experts below are selected from a list of 1530702 Experts worldwide ranked by ideXlab platform
Aditya Kumar Raghuvanshi - One of the best experts on this subject based on the ideXlab platform.
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On the Gibbs Phenomenon for
2020Co-Authors: Aditya Kumar RaghuvanshiAbstract:In this paper we have proved a theorem on the Gibbs phenomenon for jN, pn, qnj- Summability method which gives some new results and generalizes some previous known results.
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on the gibbs phenomenon for n p_n q_n Summability method
Communications in Mathematics and Applications, 2014Co-Authors: Aditya Kumar RaghuvanshiAbstract:In this paper we have proved a theorem on the Gibbs phenomenon for \(|N,p_n,q_n|\)-Summability method which gives some new results and generalizes some previous known results.
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On The Gibbs Phenomenon for \(|N,p_n,q_n|\)-Summability Method
Communications in Mathematics and Applications, 2014Co-Authors: Aditya Kumar RaghuvanshiAbstract:In this paper we have proved a theorem on the Gibbs phenomenon for \(|N,p_n,q_n|\)-Summability method which gives some new results and generalizes some previous known results.
Andrew R. Teel - One of the best experts on this subject based on the ideXlab platform.
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Uniform stability of sets for difference inclusions under Summability criteria
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Co-Authors: Andrew R. Teel, Antonio Loria, Dragan Nešć, Elena PanteleyAbstract:We present equivalent characterizations of uniform global exponential stability and uniform global asymptotic stability of arbitrary closed not necessarily compact sets for nonlinear difference inclusions. Our conditions are established in the form of Summability criteria that do not require the knowledge of a Lyapunov function.
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Summability criteria for stability of sets for sampled-data nonlinear inclusions
Proceedings of the 45th IEEE Conference on Decision and Control, 2006Co-Authors: Dragan Nesic, Antonio Loria, Elena Panteley, Andrew R. TeelAbstract:We present sufficient conditions for stability of parameterized difference inclusions that involve various Summability criteria on functions of the trajectories of the system, to conclude global asymptotic stability and global exponential stability. Our theorems parallel similar results for continuous-time differential inclusions and extend previously published Summability criteria for difference equations. They are tailored to be used within a framework for stabilization of sampled-data differential inclusions via their approximate discrete-time models, reported in a separate paper of this conference. We believe that these tools may become a useful addition to the "toolbox" for controller design for sampled-data nonlinear systems via their approximate discrete-time models
Naim L Braha - One of the best experts on this subject based on the ideXlab platform.
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Convergence of $$\lambda $$λ-Bernstein operators via power series Summability method
Journal of Applied Mathematics and Computing, 2020Co-Authors: Naim L Braha, Toufik Mansour, M. Mursaleen, Tuncer AcarAbstract:In this paper we present uniform convergence of a sequence of $$\lambda $$ λ -Bernstein operators via A -statistical convergence and power Summability method. A rate of convergence of the sequence of operators are also investigated by means of above mentioned Summability methods. The last section is devoted to pointwise convergence ( A -statistical convergence) of the sequence of operators in terms of Voronovskaya and Grü ss–Voronovskaya type theorems.
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statistical weighted b Summability and its applications to approximation theorems
Applied Mathematics and Computation, 2017Co-Authors: Ugur Kadak, Naim L Braha, H M SrivastavaAbstract:In this paper, which deals essentially with various Summability concepts and Summability techniques and shows how these concepts and techniques lead to a number of approximation results, we have used the new concept of weighted A-Summability proposed by Mohiuddine (2016) and introduced the notions of statistically weighted B -Summability and weighted B -statistical convergence with respect to the weighted regular method. We then prove a Korovkin type approximation theorem for functions of two variables and also present an example via generalized Meyer-Konig and Zeller type operator to show that our proposed method is stronger than its classical and statistical versions. Furthermore, the rate of convergence of approximating positive linear operators are estimated by means of the modulus of continuity and some Voronovskaja type results are investigated. Computational and geometrical approaches to illustrate some of our results are also presented.
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a korovkin s type approximation theorem for periodic functions via the statistical Summability of the generalized de la vallee poussin mean
Applied Mathematics and Computation, 2014Co-Authors: Naim L Braha, H M Srivastava, Syed Abdul MohiuddineAbstract:The main object of this paper is to prove a Korovkin type theorem for the test functions 1, cosx,sinx in the space C"2"@p(R) of all continuous [email protected] functions on the real line R. Our analysis is based upon the statistical Summability involving the idea of the generalized de la Vallee Poussin mean. We also investigate the rate of the de la Vallee Poussin statistical Summability of positive linear operators in the space C"2"@p(R). Finally, we provide an interesting illustrative example in support of our result.
Masafumi Yoshino - One of the best experts on this subject based on the ideXlab platform.
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parametric borel Summability for some semilinear system of partial differential equations
Opuscula Mathematica, 2015Co-Authors: Hiroshi Yamazawa, Masafumi YoshinoAbstract:In this paper we study the Borel Summability of formal solutions with a parameter of first order semilinear system of partial differential equations with \(n\) independent variables. In [Singular perturbation of linear systems with a regular singularity, J. Dynam. Control. Syst. 8 (2002), 313-322], Balser and Kostov proved the Borel Summability of formal solutions with respect to a singular perturbation parameter for a linear equation with one independent variable. We shall extend their results to a semilinear system of equations with general independent variables.
Elena Panteley - One of the best experts on this subject based on the ideXlab platform.
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Uniform stability of sets for difference inclusions under Summability criteria
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Co-Authors: Andrew R. Teel, Antonio Loria, Dragan Nešć, Elena PanteleyAbstract:We present equivalent characterizations of uniform global exponential stability and uniform global asymptotic stability of arbitrary closed not necessarily compact sets for nonlinear difference inclusions. Our conditions are established in the form of Summability criteria that do not require the knowledge of a Lyapunov function.
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Summability criteria for stability of sets for sampled-data nonlinear inclusions
Proceedings of the 45th IEEE Conference on Decision and Control, 2006Co-Authors: Dragan Nesic, Antonio Loria, Elena Panteley, Andrew R. TeelAbstract:We present sufficient conditions for stability of parameterized difference inclusions that involve various Summability criteria on functions of the trajectories of the system, to conclude global asymptotic stability and global exponential stability. Our theorems parallel similar results for continuous-time differential inclusions and extend previously published Summability criteria for difference equations. They are tailored to be used within a framework for stabilization of sampled-data differential inclusions via their approximate discrete-time models, reported in a separate paper of this conference. We believe that these tools may become a useful addition to the "toolbox" for controller design for sampled-data nonlinear systems via their approximate discrete-time models