Results 21 to 30 of about 205 (123)

The combined Shepard operator of inverse quadratic and inverse multiquadric type [PDF]

open access: yes, 2022
Starting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the inverse qua- dratic and the inverse multiquadric radial basis functions.
CĂTINAȘ, Teodora, MALINA, Andra
core   +1 more source

Constrained visualisation using Shepard-Bernoulli interpolation operator [PDF]

open access: yes, 2020
We consider Shepard-Bernoulli operator in order to solve a problem of interpolation of scattered data that is constrained to preserve positivity, using the technique described by K.W. Brodlie, M.R. Asim and K. Unsworth (2005). We also give some numerical
CĂTINAȘ, Teodora
core   +1 more source

Strong inequalities for the iterated Boolean sums of Bernstein operators: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

open access: yes, 2022
In this paper we investigate the approximation properties for the iterated Boolean sums of Bernstein operators. The approximation behaviour of those operators is presented by the so-called strong inequalities. Moreover, such strong inequalities are valid
ZHOU, Xinlong, CHENG, Li
core   +1 more source

Strict positive definiteness on spheres via disk polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 12, Page 715-724, 2002., 2002
We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q ≥ 3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier‐like expansion of the functions in terms of disk polynomials and, among other things, they enlarge the classes of strictly positive definite functions on real ...
V. A. Menegatto, A. P. Peron
wiley   +1 more source

A note on the rate of convergence for Chebyshev-Lobatto and Radau systems

open access: yesOpen Mathematics, 2016
This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions.
Berriochoa Elías   +3 more
doaj   +1 more source

Rational Quasi-Interpolation Approximation of Scattered Data in R3

open access: yesNumerical Mathematics: Theory, Methods and Applications, 2018
This paper is concerned with a piecewise smooth rational quasi-interpolation with algebraic accuracy of degree (n + 1) to approximate the scattered data in R. We firstly use the modified Taylor expansion to expand the mean value coordinates interpolation
Renzhong Song
semanticscholar   +1 more source

Integral representations for Padé‐type operators

open access: yesJournal of Applied Mathematics, Volume 2, Issue 2, Page 51-69, 2002., 2002
The main purpose of this paper is to consider an explicit form of the Padé‐type operators. To do so, we consider the representation of Padé‐type approximants to the Fourier series of the harmonic functions in the open disk and of the L p‐functions on the circle by means of integral formulas, and, then we define the corresponding Padé‐type operators. We
Nicholas J. Daras
wiley   +1 more source

Stečkin inequalities for summability methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 93-100, 1997., 1995
Stečkin proved an inequality on Fejér means of Fourier series He said, “Proving similar inequality for other summability method is an interesting problem.” We generalize Stečkin′s inequality and give various applications to summability methods.
Jia-Ding Cao
wiley   +1 more source

Study Of Hermite-Fejer Type Interpolation Polynomial

open access: yes, 2021
Given  and n points (node) in , the Hermite-Fejer type (HFT) interpolation polynomial is the polynomial of degree at most (2n-1) that agree with  and has zero derivative at each of the nodes.
Mousa Makey Khrajan
core   +1 more source

The growth, spread, and mutation of internet phenomena: A study of memes

open access: yesResults in Applied Mathematics, 2020
An internet memes is defined as “an image, video, piece of text, etc., typically humorous in nature, that is copied and spread rapidly by Internet users, often with slight variations” (Oxford Living Dictionary, 2018). Such units of information are spread
Adam Lonnberg   +2 more
doaj   +1 more source

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