Summability theory
Webetc.; while the classical summability theory deals with the generalization of the convergence of sequences or series of real or complex numbers. Further, in classical summability theory, the use of infinite matrices has been a significant research area in mathematical analysis as regards to the study of summability of divergent sequences and ... WebThe present paper emphasises on equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions by using deferred Cesàro and deferred Euler statistical convergence and obtain various implicative results with supporting examples.
Summability theory
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WebThis manuscript is organized as follows: Section2gives fundamental concepts of divergent series and introduces several methods of summability that allow obtaining specific and useful information, namely an algebraic constant related to each divergent series, including the smoothed sums method. WebDr Shukla is an experienced researcher with a demonstrated history of working in the higher education industry. He has a PhD degree focused in Approximation Theory from the Indian Institute of Technology Roorkee (IITR), India. His current interests are multivariate approximations, sampling approximation, and neuro-fuzzy based approximation …
WebSummability Theory and Its Applications by Feyzi Basar 9781032275369 Brand New £115.00 £130.00 Free Postage BA AR - SUMMABILITY THEORY AND ITS £102.18 Free Postage Summability Theory and Its Applications by Feyzi Basar Hardcover Book £129.49 Free Postage Hover to zoom Have one to sell? Sell it yourself Shop with confidence WebSummability theory has remained an active area of research in recent years and it has found many applications in various branches of analysis such as harmonic analysis, functional analysis, operator theory, approximation theory, fixed-point theory, and complex analysis. But nowhere is the usefulness and fruitfulness of
WebIn this paper, we defined weighted (Eλ,q)(Cλ,1) statistical convergence. We also proved some properties of this type of statistical convergence by applying (Eλ,q)(Cλ,1) summability method. Moreover, we used (Eλ,q)(Cλ,1) summability theorem to prove Korovkin’s type approximation theorem for functions on general and symmetric intervals. Web7 Apr 2024 · A variety of special summability methods, including the Nörlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An …
WebSummability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long …
WebOne of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of … dr tapan nath lubbock txWebSpline Functions: Basic Theory - Apr 01 2024 This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product ... including the summability of Fourier series, special trigonometric series, complex methods in Fourier series, and Riemann's theory of trigonometric series. ... coloured shipping labelsWeb25 Sep 2012 · Summability Calculus. In this paper, we present the foundations of Summability Calculus, which places various established results in number theory, infinitesimal calculus, summability theory, asymptotic analysis, information theory, and the calculus of finite differences under a single simple umbrella. Using Summability Calculus, … dr tao zheng east providenceWebResearch interests: kinetic theory, nonequilibrium statistical mechanics, singular stochastic differential equations, rigorous renormalization group, random matrices. ... and our original motivation for the control of the summability of time-correlations comes from a quest for a rigorous control of the Green-Kubo correlation function in such a ... dr taparia nephrologyWebIn mathematical analysis, Cesàro summation (also known as the Cesàro mean [1] [2]) assigns values to some infinite sums that are not necessarily convergent in the usual … coloured shelves for wallWeb7 Apr 2024 · An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic … coloured shingle for gardensWebsummability, the basic classical theory concerning mainly inclusion theorems and theorems of the Silverman-Toeplitz type, a presentation of the most important classes of summability methods, Tauberian theorems, and applications of matrix methods. The proofs in Part I are exclusively done by applying classical analytical methods. dr tapas chatterjee