Results 61 to 70 of about 596,245 (221)
Remarks on trigonometric functions after Eisenstein [PDF]
arXiv, 2016 We modify the Whittaker-Watson account of the Eisenstein approach to the trigonometric functions, basing these functions independently on the Eisenstein function $\varepsilon_2$.
arxiv
Characterization of Besov spaces with dominating mixed smoothness by differences
Mathematische Nachrichten, EarlyView.Abstract Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov ...
Paul Nikolaev +2 more
wiley +1 more source
Maximal Operators Associated With Walsh‐Paley Systems on Dyadic Hardy Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The concept of a critical point of the maximum operator T$$ T $$ associated with the Walsh‐Paley system is the focus of this study. Namely, a point p0∈(0,1)$$ {p}_0\in \left(0,1\right) $$ is called critical with respect to T$$ T $$, if T$$ T $$ is bounded from Hp$$ {H}_p $$ to Lp$$ {L}_p $$, for all p>p0$$ p>{p}_0 $$ and it is not bounded from
Ushangi Goginava +2 more
wiley +1 more source
Journal of Cardiovascular Electrophysiology, Volume 33, Issue 12, Page 2546-2557, December 2022., 2022 Abstract Introduction The IMPACT study established the role of controlled esophageal cooling in preventing esophageal thermal injury during radiofrequency (RF) ablation for atrial fibrillation (AF). The effect of esophageal cooling on ablation lesion delivery and procedural and patient outcomes had not been previously studied.
Lisa W. M. Leung +10 more
wiley +1 more source
Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions [PDF]
Polynomials, trigonometric polynomials, and rational functions are widely used for the discrete approximation of functions or simulation models.Often, it is known beforehand, that the underlying unknown function has certain properties, e.g.
Hertog, D. den +2 more
core +1 more source
A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley +1 more source
On generalized trigonometric functions and series of rational functions [PDF]
arXiv, 2016 Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$. We will show that those generalized trigonometric functions have algebraic identities which generalizes the well known $\sin^2(x)+\cos^2(x)=1$. One
arxiv
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT In‐situ stress condition is an important aspect of buried unpressurized pipelines. Empirical approaches used for preliminary design are usually based on observations, which may be associated with some errors related to the measurement method. The photoelastic approach represents an alternative, nonintrusive measurement technique to model the ...
Gökhan Cevikbilen +3 more
wiley +1 more source
Taxicab Calculus: Trig Derivatives [PDF]
arXiv, 2012 The set of trigonometric functions in taxicab geometry is completed and derivatives of all of the taxicab trigonometric functions are explored.
arxiv
Trigonometric approximation in Sobolev-Grand Lebesgue Spaces [PDF]
arXiv, 2016 We study in this short preprint the theory of trigonometric approximation in the so-called Banach functional rearrangement invariant Sobolev-Grand Lebesgue Spaces.
arxiv