Results 1 to 10 of about 30,303 (215)

Besov-Type Spaces on R^d and Integrability for the Dunkl Transform

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution.
Chokri Abdelkefi   +3 more
doaj   +1 more source

On Kadison-Schwarz Type Quantum Quadratic Operators on

open access: yesAbstract and Applied Analysis, 2013
We study the description of Kadison-Schwarz type quantum quadratic operators (q.q.o.) acting from into . Note that such kind of operators is a generalization of quantum convolution. By means of such a description we provide an example of q.q.o. which is
Farrukh Mukhamedov, Abduaziz Abduganiev
doaj   +1 more source

On the Inversion of Bessel Ultrahyperbolic Kernel of Marcel Riesz

open access: yesAbstract and Applied Analysis, 2011
We define the Bessel ultrahyperbolic Marcel Riesz operator on the function f by Uαf=RαB*f, where RαB is Bessel ultrahyperbolic kernel of Marcel Riesz, α…C, the symbol * designates as the convolution, and f∈S, S is the Schwartz space of functions.
Darunee Maneetus, Kamsing Nonlaopon
doaj   +1 more source

Self-Similar Solutions of Rényi’s Entropy and the Concavity of Its Entropy Power

open access: yesEntropy, 2015
We study the class of self-similar probability density functions with finite mean and variance, which maximize Rényi’s entropy. The investigation is restricted in the Schwartz space S(Rd) and in the space of l-differentiable compactly supported functions
Agapitos N. Hatzinikitas
doaj   +1 more source

SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM

open access: yesForum of Mathematics, Sigma, 2020
Toeplitz conjectured that any simple planar loop inscribes a square. Here we prove variants of Toeplitz’s square peg problem. We prove Hadwiger’s 1971 conjecture that any simple loop in $3$-space inscribes a parallelogram.
JAI ASLAM   +5 more
doaj   +1 more source

RETRACTED ARTICLE: A sharp Trudinger type inequality for harmonic functions and its applications

open access: yesJournal of Inequalities and Applications, 2017
The present paper introduces a sharp Trudinger type inequality for harmonic functions based on the Cauchy-Riesz kernel function, which includes modified Poisson type kernel in a half plane considered by Xu et al. (Bound. Value Probl. 2013:262, 2013).
Yili Tan, Yongli An, Hong Wang, Jing Liu
doaj   +1 more source

The Validity of Patois: An analysis on the Linguistic and Cultural aspects of Jamaican Patois

open access: yesCaribbean Quilt, 2020
The purpose of this essay is to debunk the dated Eurocentric notions that dismiss the significance of Jamaican Patois and to argue the validity of the language.
Adriana Williams
doaj   +1 more source

Realist evaluation of Schwartz rounds® for enhancing the delivery of compassionate healthcare: understanding how they work, for whom, and in what contexts

open access: yesBMC Health Services Research, 2021
Background Healthcare work is known to be stressful and challenging, and there are recognised links between the psychological health of staff and high-quality patient care. Schwartz Center Rounds® (Rounds) were developed to support healthcare staff to re-
J. Maben   +4 more
doaj   +1 more source

p-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over p-Adic Fields

open access: yesDiscrete Dynamics in Nature and Society, 2013
In this paper, we study the solutions of the pseudodifferential equations of type Dα u=v over p-adic field ℚp, where Dα is a p-adic fractional pseudodifferential operator.
Bo Wu
doaj   +1 more source

Classification of Complex Fuzzy Numbers and Fuzzy Inner Products

open access: yesMathematics, 2020
The paper is concerned with complex fuzzy numbers and complex fuzzy inner product spaces. In the classical complex number set, a complex number can be expressed using the Cartesian form or polar form. Both expressions are needed because one expression is
Jin Hee Yoon   +3 more
doaj   +1 more source

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