Results 21 to 30 of about 17,183,410 (158)
, 2021 In this paper we derive converge of Nörlund means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover, we discuss pointwise and norm convergence in $L_p$ norms of such Nörlund means.
Baramidze, Davit +2 more
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On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space H 1
, 2017 We prove and discuss a new divergence result of Nörlund logarithmic means with respect to Vilenkin system in Hardy space H1.
Wall P., Persson L.-E., Tephnadze G.
core +3 more sources
Slow-roll versus stochastic slow-roll inflation
European Physical Journal C: Particles and Fields, 2019 We consider the classical wave equation with a thermal and Starobinsky–Vilenkin noise which in the slow-roll and long wave approximation describes the quantum fluctuations of the gravity-inflaton system in an expanding metric.
Z. Haba
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On (C,1) summability for Vilenkin-like systems [PDF]
Studia Mathematica, 2001 The Fourier series of integrable functions with respect to Vilenkin-like orthonormal systems are considered. It is proved that the maximal operator of the \((C,1)\)-means is of weak tye \((1,1)\). Hence the \((C,1)\)-means of an integrable function converge to the function a.e.
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The Peebles–Vilenkin quintessential inflation model revisited
European Physical Journal C: Particles and Fields, 2019 We review the well-known Peebles–Vilenkin (PV) quintessential inflation model and discuss its possible improvements in agreement with the recent observations.
Jaume Haro, Jaume Amorós, Supriya Pan
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The research of image segmentation algorithms based on Vilenkin-Crestensen functions
ITM Web of Conferences, 2016 The problem of Vilenkin-Crestenson functions (VCF) application to process aerospace images is considered. Theoretical grounds of VCF basis and its construction in the field of m-based numeric systems with operation of inversion by Walsh are discribed ...
Kostrov Boris V. +2 more
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Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018 We construct an effective four‐dimensional model by compactifying a ten‐dimensional theory of gravity coupled with a real scalar dilaton field on a time‐dependent torus. The corresponding action in four dimensions is similar to the action of K‐essence theories.
J. Socorro +3 more
wiley +1 more source
Generating q‐Commutator Identities and the q‐BCH Formula
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 Motivated by the physical applications of q‐calculus and of q‐deformations, the aim of this paper is twofold. Firstly, we prove the q‐deformed analogue of the celebrated theorem by Baker, Campbell, and Hausdorff for the product of two exponentials. We deal with the q‐exponential function expq(x)=∑n=0∞(xn/[n] q!), where [n] q = 1 + q + ⋯+qn−1 denotes ...
Andrea Bonfiglioli +2 more
wiley +1 more source
Frame Multiresolution Analysis on Local Fields of Positive Characteristic
Journal of Operators, Volume 2015, Issue 1, 2015., 2015 We present a notion of frame multiresolution analysis on local fields of positive characteristic based on the theory of shift‐invariant spaces. In contrast to the standard setting, the associated subspace V0 of L2(K) has a frame, a collection of translates of the scaling function φ of the form φ(·-u(k)):k∈N0, where N0 is the set of nonnegative integers.
Firdous A. Shah, Gerd Teschke
wiley +1 more source
Vilenkin-Fourier series in variable Lebesgue spaces
, 2023 Adamadze D, Kopaliani T. Vilenkin-Fourier series in variable Lebesgue spaces. Mathematical Inequalities & Applications . 2023;26(4):977-993.Let $S_{n}f$ be the $n$th partial sum of the Vilenkin-Fourier series of $f\in L^{1}(G).$ For ...
Adamadze, Daviti ; https://orcid.org/ +1 more
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