Yazar "Ornek, Bulent Nafi" için Araştırma Çıktıları | TR-Dizin | WoS | Scopus | PubMed listeleme
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ON BOUNDS FOR THE DERIVATIVE OF ANALYTIC FUNCTIONS AT THE BOUNDARY
Ornek, Bulent Nafi; Akyel, Tugba (Kangwon-Kyungki Mathematical Soc, 2021)In this paper, we obtain a new boundary version of the Schwarz lemma for analytic function. We give sharp upper bounds for vertical bar f'(0)vertical bar and sharp lower bounds for vertical bar f'(c)vertical bar with c is ... -
REPRESENTATION WITH MAJORANT OF THE SCHWARZ LEMMA AT THE BOUNDARY
Ornek, Bulent Nafi; Akyel, Tugba (PUBLICATIONS L INSTITUT MATHEMATIQUE MATEMATICKI, 2017)Let f be a holomorphic function in the unit disc and |f(z)-1| < 1 for |z| < 1. We generalize the uniqueness portion of Schwarz's lemma and provide sufficient conditions on the local behavior of f near a finite set of ... -
RESULTS ASSOCIATED WITH THE SCHWARZ LEMMA ON THE BOUNDARY
Ornek, Bulent Nafi (Korean Mathematical Soc, 2023)In this paper, some estimations will be given for the analytic functions belonging to the class R (& alpha;). In these estimations, an upper bound and a lower bound will be determined for the first coefficient of the ... -
Schwarz lemma for driving point impedance functions and its circuit applications
Ornek, Bulent Nafi; Duzenli, Timur (WILEY, 2019)In this paper, a boundary version of the Schwarz lemma is investigated for driving point impedance functions and its circuit applications. It is known that driving point impedance function, Z(s) = 1 + c(p)(s - 1)(p) + c(p ... -
A SHARP CARATHEODORY'S INEQUALITY ON THE BOUNDARY
Ornek, Bulent Nafi (KOREAN MATHEMATICAL SOC, 2016)In this paper, a generalized boundary version of Caratheodory's inequality for holomorphic function satisfying f (z) <= f (0)+ a(p)z(p) + . . ., and Rf (z) = A for |z| < 1 is investigated. Also, we obtain sharp lower bounds ... -
A Sharp Generalization of Schwarz and Caratheodory Inequality on the Boundary
Ornek, Bulent Nafi (SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS, 2016)In this paper, a boundary version of the Generalization of Schwarz and Caratheodory inequality are investigated. New inequalities of the Caratheodory's and Schwarz inequality at boundary are obtained by taking into account ... -
Sharp Inequalities for Driving Point Impedance Functions
Azeroglu, Tahir Aliyev; Ornek, Bulent Nafi; Duzenli, Timur (Ieee-Inst Electrical Electronics Engineers Inc, 2023)In this brief, positive real functions are considered as driving point impedance functions, Z(s), which are utilized in electrical engineering for characteristic representation of circuits. Accordingly, for the real part ... -
Sharpened Forms for ?-Spirallike Function of Complex Order on the Boundary
Akyel, Tugba; Ornek, Bulent Nafi (Amer Inst Physics, 2021)We present a different version of Schwarz Lemma and estimate the angular derivative of the function zf'(z)/f(z) from below for lambda-spirallike function f(z) of complex order at the boundary of the unit disc D by taking ... -
Sharpened forms of the generalized Schwarz inequality on the boundary
Akyel, Tugba; Ornek, Bulent Nafi (INDIAN ACAD SCIENCES, 2016)In this paper, a boundary version of the Schwarz inequality is investigated. We obtain more general results at the boundary. If we know the second coefficient in the expansion of the function f (z) = 1 + c(p)z(P) + ... -
Some remarks on activation function design in complex extreme learning using Schwarz lemma
Ornek, Bulent Nafi; Aydemir, Salih Berkan; Duzenli, Timur; Ozak, Bilal (Elsevier, 2022)Processing of complex valued data has become a challenge issue in classification problems where artificial neural networks are used as the classifier. This issue particularly arises in design of complex valued activation ... -
Some Remarks on Schwarz Lemma at the Boundary
Akyel, Tugba; Ornek, Bulent Nafi (UNIV NIS, FAC SCI MATH, 2017)In this paper, a boundary version of the Schwarz lemma is investigated. We consider a function f holomorphic in the unit disc D, f(a) = b, broken vertical bar a broken vertical bar < 1 and broken vertical bar f(z) - alpha ... -
SOME RESULTS CONCERNED WITH HANKEL DETERMINANT
Ornek, Bulent Nafi (Univ Kragujevac, Fac Science, 2023)In this paper, we discuss different versions of the boundary Schwarz lemma and Hankel determinant for K (alpha) class. Also, for the function f(z) = z + c(2)z(2) + c(3)z(3) + center dot center dot center dot defined in the ... -
SOME RESULTS CONCERNED WITH HANKEL DETERMINANT FOR N (?) CLASS
Atli, Gizem; Ornek, Bulent Nafi (Korean Mathematical Soc, 2021)In this paper, we give some results an upper bound of Hankel determinant of H2(1) for the classes of N (alpha). We get a sharp upper bound for H-2(1) = c(3)-c(2)(2) for N (alpha) by adding z(1), z(2), ... , z(n) zeros of ... -
Some results for a certain class of holomorphic functions at the boundary of the unit disc
Ornek, Bulent Nafi; Akyel, Tugba (AMER INST PHYSICS, 2019)We consider a version of the boundary Schwarz Lemma on a certain class which is denoted by K(alpha). For the function f (z) = z + c(2)z(2) + c(3)z(3) + ... defined in the unit disc E such that the function f (z) belongs ... -
SOME RESULTS FOR THE CLASS OF ANALYTIC FUNCTIONS CONCERNED WITH SYMMETRIC POINTS
Arabaci, Ayse Nur; Ornek, Bulent Nafi (Kangwon-Kyungki Mathematical Soc, 2023)This paper's objectives are to present the it class of analytical functions and explore the many characteristics of the functions that belong to this class. Some inequalities regarding the angular derivative have been ... -
SOME RESULTS OF THE CARATHEODORY'S INEQUALITY AT THE BOUNDARY
Ornek, Bulent Nafi (KOREAN MATHEMATICAL SOC, 2018)In this paper, a boundary version of the Caratheodory's inequality is investigated. We shall give an estimate below vertical bar f' (b)vertical bar according to the first nonzero Taylor coefficient of about two zeros, ... -
Uniqueness Part of the Schwarz Lemma at the Boundary
Ornek, Bulent Nafi; Akyel, Tugba (UNIV NIS, FAC SCI MATH, 2017)In this paper, a boundary version of the uniqueness (or, rigidity) part of the Schwarz lemma should be investigated. Also, new results related to inner functions, inner capacities, and bilogaritmic concave majorants are obtained.