KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

Direct local and global approximation results for Operators of Gamma Type

Harun KARSLI
M. Ali ÖZARSLAN
Sayfa
241–253
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)

Furthermore, a Voronoskaya type theorem is given for these operators.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper some direct local and global approximation results areobtained for the modified Gamma operators defined by A.
📊
Temel Bulgular & Veri:Izgi andB¨uy¨ukyazıcı (Approximation and rate of approximation on unboundedintervals, Kastamonu Edu.
💡
Sonuç & Katkı:Furthermore, a Voronoskaya type theorem is given for these operators.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:2003 Verileri
⚙️Değişkenler:Gamma operators · Positive linear operators · Local and global approximation

Abstract

In this paper some direct local and global approximation results areobtained for the modified Gamma operators defined by A. Izgi andB¨uy¨ukyazıcı (Approximation and rate of approximation on unboundedintervals, Kastamonu Edu. J. Okt. 11 (2), 451–460, 2003 (in Turkish)), and independently by H. Karsli (Rate of convergence of a newGamma Type Operator for functions with derivatives of bounded variation, Math. Comput. Modelling 45 (5-6), 617–624, 2007). Furthermore, a Voronoskaya type theorem is given for these operators.

🔖

Bu Makaleye Atıf Yap

KARSLI, H., ÖZARSLAN, M. A. (2022). Direct local and global approximation results for Operators of Gamma Type. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 241–253. https://ajindex.com/articles/530668

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Becker, M. Global approximation theorems for Sz´asz-Mirakyan and Baskakov operators in polynomial weight spaces, Indiana University Mathematics Journal 27 (1), 127–142, 1978.
  2. Chen, W. and Guo, S. On the rate of convergence of the Gamma Operator for functions of bounded variation, Approx. Theory Appl. 1 (5), 85–96, 1985.
  3. DeVore, R. A. and Lorentz, G. G. Constructive Approximation (Springer-Verlag, Berlin, ). Ditzian, Z. Direct estimate for Bernstein polynomials, J. Approx. Theory 79, 165–166, 1994.
  4. Duman, O. and ¨Ozarslan, M. A. Global approximation results for modified Szasz-Mirakjan operators, Taiwanese J. Math. (accepted). Felten, M. Local and global approximation theorems for positive linear operators, J. Approx. Theory 94, 396–419, 1998.
  5. Finta, Z. Direct local and global approximation theorems for some linear positive operators, Analysis in Theory and Applications 20 (4), 307–322, 2004.
  6. Izgi, A. Order of approximation of functions of two variables by a new type Gamma oper- ators, General Mathematics 17 (1), 23–32, 2009.
  7. Izgi, A. and B¨uy¨ukyazici, I. Approximation and rate of approximation on unbounded inter- vals, Kastamonu Edu. Journal Okt. 11 (2), 451–460, 2003 (in Turkish). Karsli, H. Rate of convergence of a new Gamma Type Operators for functions with deriva- tives of bounded variation, Math. Comput. Modelling 45 (5-6), 617–624, 2007.
  8. Karsli, H., Gupta, V. and Izgi, A. Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation, Appl. Math. Letters 22 (4), 505–510, 2009.
  9. Lupas, A. and M¨uller, M. Approximationseigenschaften der Gammaoperatoren, Math. Zeitschr. 98, 208–226, 1967.
  10. Mazhar, S. M. Approximation by positive operators on infinite intervals, Mathematica Balkanica 5 (2), 99–104, 1991. ¨Ozarslan, M. A. and Duman, O. Local approximation results for Szasz-Mirakjan type oper- ators Swiderski, T. Global approximation theorems for the generalized modified Szasz- Mirakyan operators in polynomial weighted spaces, Demonstratio Math. 36 (2), 383–392, 2003.
  11. Totik, V. The Gamma operators in Lpspaces, Publ. Math. 32, 43–55, 1985.
  12. Xu, X. -W. and Wang, J. Y. Approximation properties of modified Gamma operators, J. Math. Anal. Appl. 332, 798–813, 2007.
  13. Zeng, X. -M. Approximation properties of gamma operators, J. Math. Anal. Appl. 311 (2), –401, 2005.