Now showing items 72-91 of 210

    • Harmonic Function For Which The Second Dilatation is Alpha-Spiral 

      Duman Yavuz, Emel; Aydoğan, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)
      Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiral
    • Harmonic mappinggs for which co-analytic part is a close-to-convex function of order b 

      Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (2015)
      In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b ∈ C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).
    • Harmonic mappings for which second dilatation is Janowski functions 

      Yavuz Duman, Emel; Polatoğlu, Yaşar; Kahramaner, Yasemin; Darus, Maslina (2013)
      In the present paper we extend the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h maps D onto many-sheeted region which is starlike with ...
    • Harmonic mappings related to close-to-convex functions of compleks order b 

      Polatoğlu, Yaşar (2014)
      Let CC(b) be the class of functions close-to-convex functions of order b, and let SH be the class of harmonic mappings in the plane. In the present paper we investigate harmonic mappings related to close-to-convex functions ...
    • Harmonic mappings related to Janowski convex functions of complex order b 

      Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (2013-01)
      Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ...
    • Harmonic mappings related to Janowski starlike functions 

      Kahramaner, Yasemin; Polatoğlu, Yaşar; Aydoğan, Melike (Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, 2014-11)
      The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ...
    • Harmonic mappings related to the convex functions 

      Yemişci, Halime Arzu; Polatoğlu, Yaşar (2014)
      The main purpose of this paper is to give the extent idea which was introduced by R. M. Robinson [5]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings related ...
    • Harmonic mappings related to the m-fold starlike functions 

      Aydoğan, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 2015-09-15)
      In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ...
    • Harmonic Univalent Functions Defined by Post Quantum Calculus Operators 

      Unknown author (SCIENDO, DE GRUYTER POLAND SP Z O O, BOGUMILA ZUGA 32A STR, 01-811 WARSAW, POLAND, 2019-08)
      We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients ...
    • Harmonic univalent functions with Janowski starlike analytic part 

      Yavuz, Emel (International Short Joint Research Workshop, Study on Non-Analytic and Univalent Functions and Applications, 2008, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, 2008)
    • Hukuk ve Matematik 

      Güzel, Erhan (2016-11-03)
    • Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc 

      Çağlar, Mert; Polatoğlu, Yaşar; Şen, Arzu (2006)
      Nehari norm of the Schwarzian derivative of an analytic function is closely related to its univalence. The famous NehariKraus theorem ((3), (4)) and AhlforsW eill theorem (1) are of fundamental importance in this direction. ...
    • Instructional technology as a tool in creating constructivist classrooms 

      Er, Neslihan Fatma; Er, Mustafa (Elsevier Science Bv, Sara Burgerhartstraat 25, Po Box 211, 1000 Ae Amsterdam, Netherlands, 2013)
      Unlike traditional approach, constructivists view the learner as the active participant of the learning process. Constructivist instructors' main concern is providing the learners with learning environments in which they ...
    • Invariant Subspace Theorems for Families of Operators on Banach Spaces and Banach Lattices 

      Mısırlıoğlu, Remzi Tunç (LAP LAMBERT Academic Publishing, 2010-08-19)
    • Invariant subspaces for positive operators on locally convex solid Riesz spaces 

      Zafer, Ercan; Çağlar, Mert (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2007-09-24)
      We prove that an x(0)-quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of ...
    • Invariant Subspaces of Collectively Compact Sets of Linear Operators 

      Mısırlıoğlu, Remzi Tunç; Şafak, Alpay (SP Birkhäuser Verlag Basel, 2008-05)
      In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in algΓ ...
    • Invariant Subspaces of Weakly Compact-friendly Operators 

      Çağlar, Mert; Mısırlıoğlu, Remzi Tunç (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, Tr-06100 Ankara, Turkey, 2012)
      We prove that if a non-zero weakly compact-friendly operator B on a Banach lattice with topologically full center is locally quasi-nilpotent, then the super right-commutant [B > of B has a non-trivial closed invariant ...
    • İlk 100'e Girmek Hayal mi? 

      Güzel, Erhan (2013-12-27)
    • Janowski harmonic close-to-convex functions 

      Turhan, N.; Kahramaner, Yasemin; Polatoğlu, Yaşar (2014-01)
      A harmonic mapping in the open unit disc D{double-struck} = {z||z| < 1} onto domain Ω* ⊂ ℂ is a complex valued harmonic function w = f(z) which maps D{double-struck} univalently Ω*. Each such mapping has a canonical ...
    • Janowski Starlike Log-Harmonic Univalent Functions 

      Polatoğlu, Yaşar; Deniz, Erhan (Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2009-04)
      Let h(z) and g(z) be analytic functions in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}, with the normalization h(0) = g((0))under bar> = 1. The class of log-harmonic mappings of the form f = ...