Results 81 to 90 of about 12,082,846 (215)

Applications of Nachbin's Theorem concerning Dense Subalgebras of Differentiable Functions

Trends in Computational and Applied Mathematics, 2018
In this paper, we give some applications of  Nachbin's Theorem  to approximation and interpolation in the the space of all k times continuously differentiable real functions on  any open subset of the  Euclidean space.
Marcia Sayuri Kashimoto
doaj   +1 more source

Dispersive Quiescent Optical Solitons with DWDM Topology

AppliedMath
The paper retrieves quiescent dispersive solitons in dispersion-flattened optical fibers having nonlinear chromatic dispersion and the Kerr law of self-phase modulation. The platform model is the Schrödinger–Hirota equation. The enhanced direct algebraic
Elsayed M. E. Zayed, Mona El-Shater, Ahmed H. Arnous, Lina S. Calucag, Anjan Biswas   +4 more
doaj   +1 more source

Connectivity of Julia sets for Weierstrass elliptic functions on square lattices

, 2012
We show that the Julia set of a Weierstrass elliptic function on a square lattice is connected. The techniques used to prove this result are used to show a similar result for a related family of rational maps obtained from the Laurent series.
Joshua J. Clemons
semanticscholar   +1 more source

A Rational Approximation to Weierstrass' P-Function [PDF]

Mathematics of Computation, 1976
A rational approximation to Weierstrass’ ℘ \wp
openaire   +1 more source

A Study on Some Fundamental Properties of Continuity and Differentiability of Functions of Soft Real Numbers

Advances in Fuzzy Systems, 2018
We introduce a new type of functions from a soft set to a soft set and study their properties under soft real number setting. Firstly, we investigate some properties of soft real sets.
Ramkrishna Thakur, S. K. Samanta
doaj   +1 more source

Existence of a class of vector-valued and multivariate α-fractal functions on a hype-rectangle of R q $\mathbb{R}^{q}$

Fixed Point Theory and Algorithms for Sciences and Engineering
In this article, we first prove the existence of a class of vector-valued and multivariate α-fractal functions on a hype-rectangle of R q $\mathbb{R}^{q}$ . After that, we show that the set of functions with any possible fixed dimension in the continuous
Shubham Kumar Verma, Salah Boulaaras, Rafik Guefaifia   +2 more
doaj   +1 more source

LOGARITHMIC IMAGE’S CONVEXITY IN THE INTEGRAL TRANSFORMS THEORY

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The method of integral transforms is one of the most important analytical methods of mathematical modeling. Numerical methods and computational algorithms are developed on its basis.
O. E. Yaremko, N. N. Yaremko, E. S. Mogileva   +2 more
doaj   +1 more source

Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy

Alexandria Engineering Journal
We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2).
J. Mohammed Zubair Ahamed, R. Sinuvasan
doaj   +1 more source

Dispersive Optical Gap Soliton Perturbation with Multiplicative White Noise

Telecom
This paper recovers dispersive gap solitons with the Kerr law of self-phase modulation and dispersive reflectivity. The enhanced direct algebraic method and the modified version of the sub-ODE approach have collectively made this retrieval possible.
Elsayed M. E. Zayed, Mona El-Shater, Ahmed H. Arnous, Seithuti P. Moshokoa, Anjan Biswas   +4 more
doaj   +1 more source

Geometric and approximation properties of some singular integrals in the unit disk

Journal of Inequalities and Applications, 2006
The purpose of this paper is to prove several results in approximation by complex Picard, Poisson-Cauchy, and Gauss-Weierstrass singular integrals with Jackson-type rate, having the quality of preservation of some properties in geometric function theory,
Gal Sorin G, Anastassiou George A
doaj