Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Gülter Budakçı"'
Autor:
Gülter Budakçı, Halil Oruç
Publikováno v:
Mathematics, Vol 8, Iss 10, p 1770 (2020)
We construct q-B-splines using a new form of truncated power functions. We give basic properties to show that q-B-splines form a basis for quantum spline spaces. On the other hand, we derive algorithmic formulas for 1/q-integration and 1/q-differenti
Externí odkaz:
https://doaj.org/article/783b85e6abee40ff81cec386ddf90f27
Autor:
Halil Oruç, Gülter Budakçı
Publikováno v:
Volume: 67, Issue: 2 229-241
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Based on the q-Taylor Theorem, we introduce a more general form of the Peano kernel (q-Peano) which is also applicable to non-differentiable functions. Then we show that quantum B-splines are the q-Peano kernels of divided differences. We also give a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59bc2df7c99fdd2ba50e88ae08a1ec1f
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/41018/495838
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/41018/495838
Publikováno v:
Calcolo. 51:599-613
We derive explicit formulas for the generating functions of B-splines with knots in either geometric or affine progression. To find generating functions for B-splines whose knots have geometric or affine ratio $$q$$ q , we construct a PDE for these g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8e2cc915f429457c7dbc221e2066cfc
https://doi.org/10.1007/s10092-013-0102-8
https://doi.org/10.1007/s10092-013-0102-8
We derive a collection of fundamental formulas for quantum B-splines analogous to known fundamental formulas for classical B-splines. Starting from known recursive formulas for evaluation and quantum differentiation along with quantum analogues of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e6360da5d4634f1c7bfb5b8dbb0b4af
https://aperta.ulakbim.gov.tr/record/78387
https://aperta.ulakbim.gov.tr/record/78387
Autor:
Gülter Budakçı, Halil Oruç
We consider a special knot sequence u i + 1 = q u i + 1 and define a one parameter family of Bernstein–Schoenberg operators. We prove that this operator converges to f uniformly for all f in C [ 0 , 1 ] . This operator also inherits the geometric p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ef8595ce36761845629effb2da9fa97
https://aperta.ulakbim.gov.tr/record/86323
https://aperta.ulakbim.gov.tr/record/86323