Research Article
Diferansiyel Fark Özelliklerinin Korunması ile Çok Katlı Değişkenlere Bağımlı Fonksiyonların G⊂E_n Bölgesi Dışına Genişletilmesi
Abstract
Bu çalışmada, 
bölgesinde tanımlanmış “σ -yarım boynuz” ve “kuvvetli
σ -yarım boynuz” koşulunu sağlayan 
fonksiyonunun diferansiyel fark
özelliklerinin korunması şartıyla bölgesinin dışına genişletilmesine ilişkin gömülme
teoremleri biçiminde yeni sonuçlar verilmiştir.
Keywords
References
- [1] Sobolev S.L., Some Applications of Functional Analysis in Mathematical Physics: Third Edition, American Mathematical Society, p. 286, 1991. [2] Nikolskii S.M., Functions with dominant mixed derivative, satisfying a multiple Hölder condition, Sibirsk. Mat. Zh. 4, 1342-1364, 1963. [3] Besov O.V., Ilyin V.P., Nikolskii S.M. Integral Representations of Functions and Embedding Theorems Nauka, Moscow. 1996. [4] Burenkov V.I., Fayn B.L., Extension of functions from anisotropic spaces with preservation of class. Steklov Mathematical Institute, 150, 52-66, 1979. [5] Besov O.V., Dzhabrailov A.D. Classes of functions with generalized mixed Hölder condition, Steklov Mathematical Institute, FTMN. 105, 15-20 1969. [6] Amanov T.I., Representation and imbedding theorems for the function spaces S (r) p,θ B(Rn) and S (r)*p,θ B, (0 ≥ xj ≥ 2π, j = 1,..., n), Trudy Mat. Inst. Steklov. 77, 5-34, 1965. [7] Dzhabrailov A.D., Kerimova G.T., On a new integral representation by multiple differential-difference characteristic. Proceedings news of the Academy of Sciences of Azerbaijan, SSR, FTMN. 4, 23-27, 1988. [8] Maksudov F.T., Dzhabrailov A.D.,The method of integral representations in the theory of spaces, V.1 Baku “Elm”, p. 200, 2000. [9] Kerimova G.T., Properties of differential functions with repeated difference- differential characteristic depending on multi-package variables. PhD Thesis , Baku, p. 127. 1997. [10] Kerimova G.T., Dzhabrailov A.D., Alisoy H.Z., Doğushan Ş. Dahilolma (Gömme) teoremleri biçimindeki eşitsizlikler, CBÜ Fen-Edebiyat Fakültesi Dergisi, Fen Bil. Seri (Matematik). 4, 31-37, 1998. [11] Alisoy G.T., Alisoy H.Z. On integral representations of multi package variable functions, International Journal of Applied Mathematics, 11, 371-386, 2002. [12] Alisoy G.T, Dzhabrailov A.D., Alisoy H.Z. Properties of functions in some weighted spaces, Applicable Analysis. 84, 405-417, 2005. [13] Kudryavtsev S.N. Extension of functions from non-isotropic Nikol'skii-Besov spaces and the approximation of their derivatives, arXiv preprint arXiv:1703.09734, 2017. [14] Mashiyev R.A., Cekic B., Avci M. Yucedag Z. Existence and multiplicity of weak solutions for nonuniformly elliptic equations with nonstandard growth condition, Complex Variables and Elliptic Equations. 57, 5, 579-595, 2012. [15] Rabil M., Zehra Y., Sezgin O. Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operatör Electronic Journal of Qualitative Theory of Differential Equations. 67, 1-10, 2011. [16] Stasyuk S.A., Yanchenko, S.Y. Approximation of functions from Nikolskii–Besov type classes of generalized mixed smoothness, Analysis Mathematica. 41, 311-334, 2015.
Year 2018,
Volume: 6 Issue: 1, 493 - 500, 28.06.2018
Abstract
References
- [1] Sobolev S.L., Some Applications of Functional Analysis in Mathematical Physics: Third Edition, American Mathematical Society, p. 286, 1991. [2] Nikolskii S.M., Functions with dominant mixed derivative, satisfying a multiple Hölder condition, Sibirsk. Mat. Zh. 4, 1342-1364, 1963. [3] Besov O.V., Ilyin V.P., Nikolskii S.M. Integral Representations of Functions and Embedding Theorems Nauka, Moscow. 1996. [4] Burenkov V.I., Fayn B.L., Extension of functions from anisotropic spaces with preservation of class. Steklov Mathematical Institute, 150, 52-66, 1979. [5] Besov O.V., Dzhabrailov A.D. Classes of functions with generalized mixed Hölder condition, Steklov Mathematical Institute, FTMN. 105, 15-20 1969. [6] Amanov T.I., Representation and imbedding theorems for the function spaces S (r) p,θ B(Rn) and S (r)*p,θ B, (0 ≥ xj ≥ 2π, j = 1,..., n), Trudy Mat. Inst. Steklov. 77, 5-34, 1965. [7] Dzhabrailov A.D., Kerimova G.T., On a new integral representation by multiple differential-difference characteristic. Proceedings news of the Academy of Sciences of Azerbaijan, SSR, FTMN. 4, 23-27, 1988. [8] Maksudov F.T., Dzhabrailov A.D.,The method of integral representations in the theory of spaces, V.1 Baku “Elm”, p. 200, 2000. [9] Kerimova G.T., Properties of differential functions with repeated difference- differential characteristic depending on multi-package variables. PhD Thesis , Baku, p. 127. 1997. [10] Kerimova G.T., Dzhabrailov A.D., Alisoy H.Z., Doğushan Ş. Dahilolma (Gömme) teoremleri biçimindeki eşitsizlikler, CBÜ Fen-Edebiyat Fakültesi Dergisi, Fen Bil. Seri (Matematik). 4, 31-37, 1998. [11] Alisoy G.T., Alisoy H.Z. On integral representations of multi package variable functions, International Journal of Applied Mathematics, 11, 371-386, 2002. [12] Alisoy G.T, Dzhabrailov A.D., Alisoy H.Z. Properties of functions in some weighted spaces, Applicable Analysis. 84, 405-417, 2005. [13] Kudryavtsev S.N. Extension of functions from non-isotropic Nikol'skii-Besov spaces and the approximation of their derivatives, arXiv preprint arXiv:1703.09734, 2017. [14] Mashiyev R.A., Cekic B., Avci M. Yucedag Z. Existence and multiplicity of weak solutions for nonuniformly elliptic equations with nonstandard growth condition, Complex Variables and Elliptic Equations. 57, 5, 579-595, 2012. [15] Rabil M., Zehra Y., Sezgin O. Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operatör Electronic Journal of Qualitative Theory of Differential Equations. 67, 1-10, 2011. [16] Stasyuk S.A., Yanchenko, S.Y. Approximation of functions from Nikolskii–Besov type classes of generalized mixed smoothness, Analysis Mathematica. 41, 311-334, 2015.
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Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | June 28, 2018 |
| Published in Issue | Year 2018 Volume: 6 Issue: 1 |
