Stability of the Hadamard product of k-uniformly convex and k-starlike functions in certain neighbourhood

• Autorzy: Bednarz U.
• Języki publikacji: EN

Słowa kluczowe

EN

convex functions; starlike functions; Hadamard product; stability of convolution

PL

funkcje gwiaździste; funkcje wypukłe; produkt Hadamarda

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 4
• Strony: 837--845
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Bednarz U.

• Department of Mathematics, Technical University of Rzeszów, ul. W. Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• [1] U. Bednarz, S. Kanas, Generalized neighbourhoods and stability of convolution for the class of k-uniformly convex and k-starlike functions, Folia. Sci. Tech. Resov. 175, Mathematica z. 23 (1999), 29-38.
• [2] U. Bednarz, S. Kanas, Stability of the integral convolution of k-uniformly convex and k-starlike functions, J. Appl. Anal. 10 (2004).
• [3] S. Kanas, A. Wiśniowska, Conic regions and k-uniform convexity, J. Comput. Appl. Math., 105 (1999), 327-336.
• [4] S. Kanas, A. Wiśniowska, Conic regions and k-uniform convexity II, Folia Sci. Univ. Tech. Resov., 170 (1998), 65-78.
• [5] S. Kanas, A. Wiśniowska, Conic regions and k-starlike functions, Rev. Roumaine Math. Pures Appl., 45(3) (2000), 647-657.
• [6] S. Kanas, Stability of convolution and dual sets for the class of k-uniformly convex and k-starlike functions, Folia Sci. Univ. Tech. Resov., 170 (1998), 51-64.
• [7] I. R. Nezhmetdinov, Stability of geometric properties of convolutions of univalent junctions, Russian Mathematics (Iz. VUZ) 37(11) (1993), 27-34.
• [8] I. R. Nezhmetdinov, Stability of geometric properties of convolutions of univalent junctions in certain neighborhoods, Russian Mathematics (Iz. VUZ) 38(8) (1994), 46-54.
• [9] Q. I. Rahman, J. Stankiewicz, On the Hadamard products of schlicht functions, Math. Nachr., 106 (1982), 7-16.
• [10] S. Ruscheweyh, Duality for Hadamard product with applications to ekstremal problems, Trans. Amer. Math., 210 (1975), 63-74.
• [11] S. Ruscheweyh, Neighborhoods of univalent functions, Proc. Amer. Math. Soc., 81 (1981), 521-527.
• [12] S. Ruscheweyh, T. Sheil-Small, Hadamard product of schlicht functions and the Pólya-Schoenberg conjecture, Comment. Math. Helv., 48 (1973), 119-135.
• [13] M. S. Robertson, Applications of a lemma of Fejér to typically real functions, Proc. Amer. Math. Soc. 1 (1950), 555-561.
• [14] T. Sheil-Small, E. Silvia, Neighborhoods of analytic functions, J. Anal. Math., 52 (1989), 210-240.
• [15] J. Stankiewicz, Neighbourhoods of meromorphic functions and Hadamard products, Ann. Polon. Math., 46 (1985), 317-331.
• [16] J. Stankiewicz, Z. Stankiewicz, Some classes of regular functions defined by convolution, Lecture Notes in Mathematics, 1039 (1983), Springer, 400-408.