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  • Bounded Log-Harmonic Functions with Positive Real Part 

    Özkan Uçar, Hatice Esra; Polatoğlu, Yaşar (Academic Press inc Elsevier Science, 525 B St, Ste 1900, San Diego, Ca 92101-4495 USA, 2013-03-01)
    Let H(D) be the linear space of all analytic functions defined on the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}, and let B be the set of all functions w(z) is an element of H(D) such that vertical ...
  • An Investigation on a New Class of Harmonic Mappings 

    Polatoğlu, Yaşar; Duman Yavuz, Emel; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2013-11-07)
    In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ...
  • Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation 

    Uçar, Mehmet Fatih; Çağlar, Süleyman Hikmet (Polish Acad Sciences inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2012-01)
    In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ...
  • Comparison of the Data Classification Approaches to Diagnose Spinal Cord Injury 

    Demirer, Rüştü Murat; Arslan, Yunus Ziya; Palamar, Deniz; Uğur, Mukden; Karamehmetoğlu, Şafak Sahir (Hindawi Publishing Corporation, 410 Park Avenue, 15Th Floor, #287 Pmb, New York, Ny 10022 USA, 2012)
    In our previous study, we have demonstrated that analyzing the skin impedancesmeasured along the key points of the dermatomes might be a useful supplementary technique to enhance the diagnosis of spinal cord injury (SCI), ...
  • Invariant Subspaces of Weakly Compact-friendly Operators 

    Çağlar, Mert; Mısırlıoğlu, 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 ...
  • 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
  • Non-Polynomial Spline Method for Fractional Diffusion Equation 

    Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Uçar, Mehmet Fatih; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2012-11)
    The one-dimensional fractional diffusion equation is studied systematically using the non-polynomial spline method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of ...
  • Multi-Dimensional Weiss Operators 

    Borisenok, Sergey; Erkut, M. Hakan; Polatoğlu, Yaşar; Demirer, Murat (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, TR-06100 Ankara, Turkey, 2011)
    We present a solution of the Weiss operator family generalized for the case of R(d) and formulate a d-dimensional analogue of the Weiss Theorem. Most importantly, the generalization of the Weiss Theorem allows us to find ...
  • Using The Decentralized And Liberalized Electricity Market Microworld (LEMM) As An Educational Tool 

    Paşaoğlu, Güzay (Elsevier Sci Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, Oxon, England, 2011-01)
    Decentralized and liberalized electricity market involves a great deal of interdisciplinary concepts, including economic, commercial, environmental and technological issues. Consequently, the system is complicated. ...
  • Reciprocal Classes Of P-Valently Spirallike And P-Valently Robertson Functions 

    Polatoğlu, Yaşar; Uyanık, Neslihan; Owa, Shigeyoshi; Shiraishi, Hitoshi (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2011)
    For p-valently spirallike and p-valently Robertson functions in the open unit disk U, reciprocal classes S-p(alpha, beta), and C-p(alpha, beta) are introduced. The object of the present paper is to discuss some interesting ...
  • Some Properties Of Analytic Functions Relating To The Miller And Mocanu Result 

    Yavuz Duman, Emel; Nunokawa, Mamoru; Owa, Shigeyoshi; Aydoğan, Melike (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2011-03)
    Let P(alpha) be the class of analytic functions p(z) in the open unit disc U with p(0) = 1 and |arg p(z)| < pi/2 alpha (z is an element of U) for some real alpha > 0. The object of the present paper is to discuss some ...
  • Application Of The Subordination Principle To The Multivalent Harmonic Mappings With Shear Construction Method 

    Polatoğlu, Yaşar; Yavuz Duman, Emel; Özkan, H. Esra (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2011-06)
    The harmonic function in the open unit disc D = (z is an element of C vertical bar z vertical bar < 1} can be written as a sum of an analytic and an anti-analytic function. f = h(z) + g(z), where h(z) and g(z) are analytic ...
  • A Note On A Problem Of Abramovich, Aliprantis And Burkinshaw 

    Çağlar, Mert; Mısırlıoğlu, Tunç (Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands, 2011-09)
    Let B and T be two positive operators on a Banach lattice such that B is compact-friendly and T is locally quasi-nilpotent. Introducing the concept of positive quasi-similarity, we prove that T has a non-trivial closed ...
  • Enable Delegation For RBAC With Secure Authorization Certificate 

    Zhou, GuangXu; Demirer, Murat; Bayrak, Coşkun; Wang, Licheng (Elsevier Advanced Technology, Oxford Fulfillment Centre The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, Oxon, England, 2011-11)
    Our motivation in this paper is to explore a Secure Delegation Scheme that could keep access control information hidden through network transmission. This approach introduces the quasirandom structure, 3-Uniform Hypergraph, ...
  • Some Sufficient Conditions For Starlikeness And Convexity 

    Nunokawa, Mamoru; Owa, Shigeyoshi; Polatoğlu, Yaşar; Çağlar, Mert; Yavuz Duman, Emel (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, Tr-06100 Ankara, Turkey, 2010)
    There are many results for sufficient conditions of functions f (z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. ...
  • Application Of The Subordination Principle To The Harmonic Mappings Convex In One Direction With Shear Construction Method 

    Polatoğlu, Yaşar; Özkan, Hatice Esra; Yavuz Duman, Emel (Hindawi Publishing Corporation, 410 Park Avenue, 15Th Floor, #287 Pmb, New York, Ny 10022 Usa, 2010)
    Any harmonic function in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1} can be written as a sum of an analytic and antianalytic functions f = h(z) + <(g(z))over bar>, where h(z) and g(z) are analytic ...
  • B-Spline Method For Solving Bratu's Problem 

    Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; Valaristos, Antonios; Anagnostopoulos, Antonios N. (Taylor & Francis Ltd, 4 Park Square, Milton Park, Abingdon Ox14 4Rn, Oxon, England, 2010)
    In this paper, we propose a B-spline method for solving the one-dimensional Bratu's problem. The numerical approximations to the exact solution are computed and then compared with other existing methods. The effectiveness ...
  • Non-Polynomial Spline Method For A Singularly Perturbed Convection-Dominated Diffusion Equation 

    Çağlar, Hikmet; Uçar, Mehmet Fatih; Yıldırım, Mesut (Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)
    In this study, a singularly perturbed convection-dominated diffusion equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained ...
  • Non-Polynomial Spline Method Of A Non-Linear System Of Second-Order Boundary Value Problems 

    Çağlar, Hikmet; Çağlar, Nazan; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-04)
    The non-polynomial spline method is proposed to solve a non-linear system of the second-order boundary value problems (BVPs). Some numerical results are given to demostrate the validity and applicability of the presented ...
  • Coefficient Inequality For Perturbed Harmonic Mappings 

    Polatoğlu, Yaşar; Çağlar, Mert; Yavuz Duman, Emel (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2010-08)
    The aim of this work is to give the coefficient inequality for the perturbed harmonic mappings in the open unit disc D. (c) 2010 Elsevier Ltd. All rights reserved.

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