Dergiler / Constructive Mathematical Analysis / 2019 / Cilt: 2 Sayı: 3

Shift $\lambda $-Invariant Operators

Sayfa
103–108
Yayın Tarihi
2019-09-01
DOI
—
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By using probabilistic methods, three examples are delivered.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The present note is devoted to a generalization of the notion of shift invariant operators that we call it $\lambda $-invariant operators $(\lambda \ge 0)$.
📊
Temel Bulgular & Veri:Some properties of this new class are presented.
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Sonuç & Katkı:By using probabilistic methods, three examples are delivered.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:convolution type operator · Modulus of continuity · integral operator

Abstract

The present note is devoted to a generalization of the notion of shift invariant operators that we call it $\lambda $-invariant operators $(\lambda \ge 0)$. Some properties of this new class are presented. By using probabilistic methods, three examples are delivered.

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Bu Makaleye Atıf Yap

AGRATINI, O. (2019). Shift $\lambda $-Invariant Operators. Constructive Mathematical Analysis, Cilt: 2 Sayı: 3, 103–108. https://ajindex.com/articles/903675

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Kaynakça (9)

  1. F.Altomare,M.CappellettiMontano,V.Leonessa,I.Ras ̧a,MarkovOperators,PositiveSemigroupsandApproximation Processes, De Gruyter Studies in Mathematics, Vol. 61, Berlin, 2014
  2. G. A. Anastassiou, Moments in probability and approximation theory, Pitman Research Notes in Mathematics Series, Vol. 287, Longman Scientific & Technical, England, 1993
  3. G. A. Anastassiou, S.G. Gal, On some differential shift-invariant integral operators, univariate case revisited, Adv. Non- linear Var. Inequal., 2(1999), no. 2, 71-83
  4. G. A. Anastassiou, S.G. Gal, On some differential shift-invariant integral operators, univariate case revisited, Adv. Non- linear Var. Inequal., 2(1999), no. 2, 97-109
  5. G. A. Anastassiou, S.G. Gal, On some shift invariant multivariate, integral operators revisited, Commun. Appl. Anal., 5(2001), no. 2, 265-275
  6. G. A. Anastassiou, H.H. Gonska, On some shift invariant integral operators, univariate case, Annales Polonici Mathe- matici, LXI(3)(1995), 225-243
  7. W. Feller, An introduction to probability theory and its applications, Vol. I, II, John Wiley, New York, London, 1957 resp. 1966
  8. G. G. Lorentz, Approximation of Functions, Holt, Rinehart and Winston, New York, 1966
  9. D. D. Stancu, Use of probabilistic methods in the theory of uniform approximation of continuous functions, Rev. Roum. Math. Pures et Appl., Tome 14(5)(1969), 673-691.