Stability of the Integral Convolution of k-Uniformly Convex and k-Starlike Functions
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| 024 | 7 | 0 | |a 10.1515/JAA.2004.105 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/JAA.2004.105 | ||
| 245 | 0 | 0 | |a Stability of the Integral Convolution of k-Uniformly Convex and k-Starlike Functions |h [Elektronische Daten] |c [U. Bednarz, S. Kanas] |
| 520 | 3 | |a For a constant k ∈ [0, ∞) a normalized function f, analytic in the unit disk, is said to be k-uniformly convex if Re (1 + zf″(z)/f′(z)) > k|zf″(z)/f′(z)| at any point in the unit disk. The class of k-uniformly convex functions is denoted k-ucv (cf. [Kanas, Wiśniowska, J. Comput. Appl. Math. 105: 327-336, 1999]). The function g is said to be k-starlike if g(z) = zf′(z) and f ∈ k-ucv. For analytic functions f, g, where f(z) = z + a 2 z 2 + ⋯ and g(z) = z + b 2 z 2 + ⋯, the integral convolution is defined as follows: In this note a problem of stability of the integral convolution of k-uniformly convex and k-starlike functions is investigated. | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a k-uniformly convex functions |2 nationallicence | |
| 690 | 7 | |a k-starlike functions |2 nationallicence | |
| 690 | 7 | |a Hadamard product (or convolution) |2 nationallicence | |
| 690 | 7 | |a integral convolution |2 nationallicence | |
| 690 | 7 | |a integral transformation |2 nationallicence | |
| 690 | 7 | |a neighbourhoods of functions |2 nationallicence | |
| 690 | 7 | |a stability of convolution |2 nationallicence | |
| 700 | 1 | |a Bednarz |D U. |u Department of Mathematics, Technical University of Rzeszów, W. Pola 2, PL-35-959 Rzeszów, Poland. email: ubednarz@prz.edu.pl |4 aut | |
| 700 | 1 | |a Kanas |D S. |u Department of Mathematics, Technical University of Rzeszów, W. Pola 2, PL-35-959 Rzeszów, Poland. email: skanas@prz.edu.pl |4 aut | |
| 773 | 0 | |t Journal of Applied Analysis |d Walter de Gruyter GmbH & Co. KG |g 10/1(2004-06), 105-115 |x 1425-6908 |q 10:1<105 |1 2004 |2 10 |o JAA | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/JAA.2004.105 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/JAA.2004.105 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bednarz |D U. |u Department of Mathematics, Technical University of Rzeszów, W. Pola 2, PL-35-959 Rzeszów, Poland. email: ubednarz@prz.edu.pl |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kanas |D S. |u Department of Mathematics, Technical University of Rzeszów, W. Pola 2, PL-35-959 Rzeszów, Poland. email: skanas@prz.edu.pl |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Applied Analysis |d Walter de Gruyter GmbH & Co. KG |g 10/1(2004-06), 105-115 |x 1425-6908 |q 10:1<105 |1 2004 |2 10 |o JAA | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||