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Journals / Afyon Kocatepe Üniversitesi Fen Bilimleri Dergisi / 2004 / Cilt: 4 - Sayı: 1-2

İzotroprik olmayan uzaklıklar üzerine

On the non-isotropic distance

Hüseyin YILDIRIM
Pages
119–126
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We study relationships between Gauss-Weierstrass integral and Abel-Poisson integral with Riesz potential generated by the non-isotropic distance.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we have generated the Gauss-Weierstrass integral and Abel-Poisson integral which are generated by the $lambda$ -Abel-Poisson kernel.
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Key Findings & Data:These kernels depen on non-isotropic distance.
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Conclusion & Impact:We study relationships between Gauss-Weierstrass integral and Abel-Poisson integral with Riesz potential generated by the non-isotropic distance.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we have generated the Gauss-Weierstrass integral and Abel-Poisson integral which are generated by the $lambda$ -Abel-Poisson kernel. These kernels depen on non-isotropic distance. We study relationships between Gauss-Weierstrass integral and Abel-Poisson integral with Riesz potential generated by the non-isotropic distance.

Özet

Bu çalışmada, $lambda$ -Abel Poisson çekirdeği yardımıyla Gauss-Weierstrass integralini ve Abel-Poisson integralini elde ettik. Bu çekirdekler izotropik olmayan uzaklık ile elde edilen Riesz potansiyalleri ile Gauss-Weierstrass integrali ve Abel-Poisson integrali arasındaki ilişkiler çalışıldı.

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Cite This Article

YILDIRIM, H. (2022). İzotroprik olmayan uzaklıklar üzerine. Afyon Kocatepe Üniversitesi Fen Bilimleri Dergisi, Cilt: 4 - Sayı: 1-2, 119–126. https://ajindex.com/articles/429532

References (1)

  1. Samko S. G., Kilbas A. A. and Marichev O. I., Fractional ıntegrals and Derivatives. (1993). 2.Yıldırım H., Riesz Potentials Generated by the Generalized Shift Operator. Ankara Uni. Graduate School of Natural and Applieds Sciences Department of Math. Ph.D. thesis (1995). 3.Fabes E. B and Riviere N. M., Symbolic Calculus of Kernels with Mixed Homogeneity, Proceeding of Symposia in Peru Math., 107-127, (1967). 4.Aral A., The Concergence of Singular Integrals, Ankara Uni. Graduate School of Natural and Applieds Sciences Department of Math. Ph.D. thesis (2001).