Results 21 to 30 of about 4,010 (267)
An application of almost increasing sequences
We extended a theorem of Mishra and Srivastava (1983–1984) on |C,1|k summability factors, using almost increasing sequences, to |N¯,pn|k summability under weaker conditions.
Hüseyin Bor
doaj +1 more source
Compact $\kappa$-deformation and spectral triples [PDF]
We construct discrete versions of $\kappa$-Minkowski space related to a certain compactness of the time coordinate. We show that these models fit into the framework of noncommutative geometry in the sense of spectral triples.
A. Sitarz +55 more
core +7 more sources
A note on absolute summability factors
In this paper, by using an almost increasing and $\delta$-quasi-monotone sequence, a general theorem on $\phi-{\mid{C},\alpha\mid}_k$ summability factors, which generalizes a result of Bor \cite{3} on ${\phi-\mid{C},1\mid}_k$ summability factors, has ...
Ozarslan, H. S.
core +2 more sources
Approximation of high-dimensional parametric PDEs [PDF]
Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applications, the number of parameters is large or perhaps even infinite.
Cohen, Albert, Devore, Ronald
core +4 more sources
Summability Factors for Cesaro Methods [PDF]
It is shown that if each of r and s is a nonnegative integer and { f p } \{ {f_p}\} is a complex sequence such that Σ f p a p \Sigma {f_p}
openaire +1 more source
Borel summability and Lindstedt series
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 +9 more
core +1 more source
We consider a family of quantum Hamiltonians $H_\hbar=-\hbar^2\,(d^2\!/dx^2) +V(x)$, $x\in\mathbb{R},$ $\hbar>0,$ where $V(x)=i(x^3-x)$ is an imaginary double well potential.
Giachetti, Riccardo, Grecchi, Vincenzo
core +2 more sources
Local properties of Fourier series
A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
doaj +1 more source
A new factor theorem for generalized absolute Riesz summability
The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
doaj +1 more source
Constructive Field Theory in Zero Dimension
In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional $\phi^4$ field theory,in increasing order of sophistication.
Rivasseau, V.
core +5 more sources

