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  • Řešíme následující problémy: Musí být všechny aproximační operátory lineární? Je nutné omezit se výlučně na klasický součet a součin? Jako odpověď na tyto otázky navrhujeme nový typ pseudo-lineárních operátorů a dále zkoumáme jejich vlastnosti. (cs)
  • We propose the following problems: Need all the approximation operators be linear? All the approximation operators have to use exclusivey the classical addition and multiplication? As an answer to this problem we propose a new type of pseudo-linear approximation operators, which are defined by using a pseudo-addition and a pseudo-multiplication. We study these operators from a theoretical point of view and we obtain that these operators have very similar properties to those provided by the classical Approximation Theory. In this sense we obtain Uniform Approximation Theorems of Weierstrass type, and Jackson-type error estimates in approximation by these operators.
  • We propose the following problems: Need all the approximation operators be linear? All the approximation operators have to use exclusivey the classical addition and multiplication? As an answer to this problem we propose a new type of pseudo-linear approximation operators, which are defined by using a pseudo-addition and a pseudo-multiplication. We study these operators from a theoretical point of view and we obtain that these operators have very similar properties to those provided by the classical Approximation Theory. In this sense we obtain Uniform Approximation Theorems of Weierstrass type, and Jackson-type error estimates in approximation by these operators. (en)
Title
  • Approximation by pseudo-linear operators
  • Approximation by pseudo-linear operators (en)
  • Aproximace pseudo-linearními operatory (cs)
skos:prefLabel
  • Approximation by pseudo-linear operators
  • Approximation by pseudo-linear operators (en)
  • Aproximace pseudo-linearními operatory (cs)
skos:notation
  • RIV/61988987:17610/08:A0800HLA!RIV08-MSM-17610___
http://linked.open.../vavai/riv/strany
  • 804;820
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198898701)
http://linked.open...iv/cisloPeriodika
  • 7
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 356874
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17610/08:A0800HLA
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • approximation; pseudo-analysis; Shepard approximation operators; nonlinear approximation operators (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [90715A63F809]
http://linked.open...i/riv/nazevZdroje
  • Fuzzy Sets and Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 159
http://linked.open...iv/tvurceVysledku
  • Daňková, Martina
  • Bede, Barnabas
  • Di Nola, Antonio
  • Nobuhara, Hajime
http://linked.open...n/vavai/riv/zamer
issn
  • 0165-0114
number of pages
http://localhost/t...ganizacniJednotka
  • 17610
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