Results 51 to 60 of about 631 (89)

On bivariate fractal interpolation for countable data and associated nonlinear fractal operator

Demonstratio Mathematica
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar, Secelean Nicolae Adrian, Viswanathan Puthan Veedu   +2 more
doaj   +1 more source

The Breadth-one $D$-invariant Polynomial Subspace [PDF]

, 2014
We demonstrate the equivalence of two classes of $D$-invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of the breadth-one $D$-invariant subspace.
Jiang, Xue, Zhang, Shugong
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Irregular C2 surface construction using bi-polynomial rectangular patches [PDF]

, 1991
The construction of C2 surfaces using bi-polynomial parametric rectangular patches is studied. In particular, the analy- sis of the C2 continuity conditions for the case of n patches meeting at an n-vertex is ...
Gregory, JA, Zhou, J
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Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory

, 2007
The classical Kramer sampling theorem establishes general conditions that allow the reconstruction of functions by mean of orthogonal sampling formulae. One major task in sampling theory is to find concrete, non trivial realizations of this theorem.
Akhiezer N I, Akhiezer N I, de Branges L, Gorbachuk M L, Julio H Toloza, Kotel'nikov V A, Kramer H P, Krein M G, Krein M G, Krein M G, Krein M G, Landau H J, Luis O Silva, Marks R J, Whittaker J M   +14 more
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A kind of univariate improved Shepard-Euler operators

Open Mathematics
In this paper, a kind of univariate Shepard-Euler operators is studied by combining the known Shepard operator with the generalized Taylor polynomial as the expansion in the Euler polynomials.
Wu Ruifeng
doaj   +1 more source

Stability of subdivision schemes [PDF]

, 1998
The stability of stationary interpolatory subdivision schemes for univariate data is investigated. If the subdivision scheme is linear, its stability follows from the convergence of the scheme, but for nonlinear subdivision schemes one needs stronger ...
Damme, R.M.J. van, Kuijt, F.
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Approximation by weighted Durrmeyer-type max-product neural network operators

Demonstratio Mathematica
This paper introduces a class of weighted Durrmeyer-type max-product neural network operators, which generalize the Kantorovich variant by incorporating a flexible weight function.
Wu Yile, Yu Dansheng
doaj   +1 more source

Transfinite thin plate spline interpolation

, 2009
Duchon's method of thin plate splines defines a polyharmonic interpolant to scattered data values as the minimizer of a certain integral functional. For transfinite interpolation, i.e.
A. Bejancu, A. Bejancu, A. Böttcher, Aurelian Bejancu, D. Apprato, G.H. Golub, G.N. Watson, H. Wendland, J. Duchon, J. Duchon, L.L. Schumaker, M. Nicolesco, M.A. Sabin, O.I. Kounchev, O.I. Kounchev, O.I. Kounchev, R. Arcangéli, T.N.T. Goodman   +17 more
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A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete Operators

Advanced Nonlinear Studies, 2018
In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff ...
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

Hermite subdivision schemes, exponential polynomial generation, and annihilators [PDF]

, 2013
We consider the question when the so--called spectral condition} for Hermite subdivision schemes extends to spaces generated by polynomials and exponential functions.
Conti, Costanza, Cotronei, Mariantonia, Sauer, Tomas   +2 more
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