Results 21 to 30 of about 8,078 (282)

A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices

Mathematics, 2021
In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots.
Hari M. Srivastava, Khursheed J. Ansari, Faruk Özger, Zeynep Ödemiş Özger   +3 more
doaj   +1 more source

Distributional versions of Littlewood's Tauberian theorem [PDF]

, 2010
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham, A. Tauber, G. H. Hardy, G. H. Hardy, G. H. Hardy, I. Çanak, J. E. Littlewood, J. Korevaar, J. N. Drozzinov, J. Peetre, J. Vindas, J. Vindas, J. Vindas, Jasson Vindas, L. Schwartz, N. Wiener, O. Szász, R. Estrada, R. Estrada, R. Estrada, R. Estrada, R. Estrada, Ricardo Estrada, S. Pilipović, S. Pilipović, S. Pilipović, V. S. Vladimirov, V. S. Vladimirov   +27 more
core   +4 more sources

Resumming the string perturbation series [PDF]

, 2015
We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory.
Grassi, Alba, Marino, Marcos, Zakany, Szabolcs   +2 more
core   +3 more sources

Comparison theorems for summability methods of sequences of fuzzy numbers

, 2017
In this study we compare Ces\`{a}ro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power series methods of summability of sequences of fuzzy numbers. Also some results dealing with series of fuzzy numbers
Yavuz, Enes
core   +3 more sources

Exponential Operators, Dobinski Relations and Summability [PDF]

, 2005
We investigate properties of exponential operators preserving the particle number using combinatorial methods developed in order to solve the boson normal ordering problem.
A Gawron, A Horzela, A I Solomon, Aldrovandi R, Blasiak P, Comtet L, Dattoli G, K A Penson, Katriel J, Louisell W H, P Blasiak   +10 more
core   +3 more sources

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

Approximation of functions by (C,2)(E,1) product summability method of Fourier series

Ratio Mathematica, 2020
Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of  2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
doaj   +1 more source

Borel summability and Lindstedt series

, 2006
Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the strength of the perturbation.
A. Giuliani, A.D. Sokal, F. Nevanlinna, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gentile, O. Costin   +9 more
core   +1 more source

Notes on Iterative Summation of Alternating Factorials

Mathematics
The Eulerian iterative method of the summation of divergent series, invented in Institutiones Calculi Differentialis, is studied. We demonstrate that the method is equivalent to the Karamata–Lototsky–Jakimovski summability method, introduced in the 1950s.
Vladimir Kanovei, Vassily Lyubetsky
doaj   +1 more source

On λ-statistical and Vλ-statistical summability in neutrosophic-2-normed spaces [PDF]

Neutrosophic Sets and Systems
In the present paper, we aim to define λ-statistical summability, Vλ-statistical summability in neutrosophic-2-normed spaces (briefly called N − 2 − NS) and study some relationships among these notions.
Sumaira Aslam, Vijay Kumar, Archana Sharma   +2 more
doaj   +1 more source