Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 4

On multivariate Lupaş operators

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Yayın Tarihi
2018-08-01
DOI
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Lastly, two modified extensions are constructed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper is primarily concerned with multivariate Lupaş operator.
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Temel Bulgular & Veri:We demonstrate that multivariate Lupaş operator preserves the properties of the general function of modulus of continuity, Lipschitz's constant and order of a Lipschitz continuous function.
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Sonuç & Katkı:Lastly, two modified extensions are constructed.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lupaş operator · convexity · Lipschitz continuity

Abstract

This paper is primarily concerned with multivariate Lupaş operator. We demonstrate that multivariate Lupaş operator preserves the properties of the general function of modulus of continuity, Lipschitz's constant and order of a Lipschitz continuous function. Moreover, we obtain monotonicity of the multivariate Lupaş operator under the condition that the original function is convex. Lastly, two modified extensions are constructed.

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Bu Makaleye Atıf Yap

Bodur, M., Taşdelen, F., Başcanbaz-tunca, G. (2018). On multivariate Lupaş operators. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 4. https://ajindex.com/articles/1402903

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Kaynakça (14)

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  12. Aral, A., Inoan, D. and Raşa, I. On the generalized Szász-Mirakyan operators, Results Math.65 no. 3-4, 441-452, 2014.
  13. Başcanbaz-Tunca,G., İnce-ݝlarslan, H. G. and Erençin, A. Bivariate Bernstein type operators, Appl. Math. Comput., 273 543-552, 2016.
  14. Gadjiev, A.D. and Aral, A. The estimates of approximation by using a new type of weighted modulus of continuity, Computers and Mathematics with Applications 54 127-135, 2007.