KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

Linear positive operators constructed by using Beta-type bases

Octavian AGRATİNİ
Sayfa
1030–1038
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In our construction particular cases are outlined.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases.
📊
Temel Bulgular & Veri:Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval.
💡
Sonuç & Katkı:In our construction particular cases are outlined.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Korovkin theorem · modulus of smoothness · weighted space

Abstract

Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases. Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval. In our construction particular cases are outlined.

🔖

Bu Makaleye Atıf Yap

AGRATİNİ, O. (2022). Linear positive operators constructed by using Beta-type bases. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1030–1038. https://ajindex.com/articles/529554

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. T. Acar, A.M. Acu and N. Manav, Approximation of functions by genuine Bernstein- Durrmeyer type operators, J. Math. Ineq. 12 (4), 975–987, 2018
  2. F. Altomare and M. Campiti, Korovkin-type Approximation Theory and its Applica- tions, de Gruyter Series Studies in Mathematics, Vol. 17, Walter de Gruyter & Co., Berlin, New York, 1994
  3. I. Chlodovsky, Sur le développement des fonctions définies dans un interval infini en séries de polynômes de N.S. Bernstein, Compositio Math. 4, 380–393, 1937
  4. A.D. Gadjiev, Theorems of Korovkin type, Mat. Zametki, 20 (5), 781–786 (in Rus- sian), 1976; Mathematical Notes, 20 (5), 995-998 (English translation), 1976
  5. A.D. Gadjiev and A. Aral, The estimates of approximation by using a new type of weighted modulus of continuity, Comput. Math. Appl. 54, 127–135, 2007
  6. A.D. Gadjiev and C. Orhan, Some approximation theorems via statistical convergence, Rocky Mountain J. Math. 32, 129–138, 2002
  7. V. Gupta and M.A. Noor, Convergence of derivatives for certain mixed Szász-Beta operators, J. Math. Anal. Appl. 321, 1–9, 2006
  8. G.C. Jain, Approximation of functions by a new class of linear operators, J. Aust. Math. Soc. 13 (3), 271–276, 1972
  9. A.S. Kumar and T. Acar, Approximation by generalized Baskakov-Durrmeyer-Stancu type operators, Rend. Circ. Mat. Palermo, Series 2, 65 (3), 411–424, 2016
  10. G.G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, Inc., New York, 1966
  11. G.G. Lorentz, Bernstein Polynomials, 2nd Ed., Chelsea Publ. Comp., New York, NY, 1986
  12. G. Mastroianni, Su un operatore lineare e positivo, Rend. Acc. Sc. Fis. Mat. Napoli, 46, 161,-176, 1979
  13. C.A. Micchelli, Saturation classes and iterates of operators, Dissertation, Stanford, 1969
  14. M. Mursaleen and M. Nasiruzzaman, Approximation of modified Jakimovski-Leviatan- Beta type operators, Constr. Math. Anal. 1 (2), 88–98, 2018
  15. P.C. Sikkema, On some linear positive operators, Indag. Math. 32, 327–337, 1970
  16. S. Tarabie, On Jain-Beta linear operators, Appl. Math. Inform. Sci. 6 (2), 213–216, 2012.