Browsing Theses (Master's and Ph.D) – Mathematics by Subject "Mathematics Department"

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Browsing Theses (Master's and Ph.D) – Mathematics by Subject "Mathematics Department"

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  • The Binary Mathematical Morphology on the Triangular Grid 
    Nouralddeen, Mohsen Mohamed Ibrahim Abdalla (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Mathematical morphology is a part of digital image processing which has strong mathematical foundation and also has several applications. In digital image processing images are understood on (usually, a finite segment ...
  • Convergent Sequences and Statistical Limit Points 
    Baytunç, Erdem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    In the present thesis, we prepare a summary of the existing theory of statistical, lacunary statistical, 𝜆���-statistical, 𝐴���-statistical limit points and some related topics for sequences of real numbers by using ...
  • Discrete Rotations on the Triangular Plane 
    Avkan, Aydın (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2022-01)
    There are various geometric transformations, e.g., translations, rotations, which are always bijections in the Euclidean space. Their digital counterpart, i.e., their digitized variants are defined on discrete grids, since ...
  • Exploiting Petri Nets to Reduce Switch Crosstalk and Path-Dependent-Loss in Optical Interconnection Networks 
    Karanfiller, Tolgay (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2012-01)
    ABSTRACT: Although optical communication systems promise to meet demands of communication networks and multiprocessors in fast communication, they suffer from challenges such as path dependent loss and switch crosstalk. ...
  • Fixed Point Theorems and Applications 
    Alwaleed, Asmaa Mohammed (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019-09)
    ABSTRACT: Fixed point theory be one of the advanced topics in both pure and applied mathematics, it also has seen great interest since recent decades, because it is considered an essential tool for nonlinear analysis ...
  • Numerical Solution of Volterra Integral Equations by Using Some Positive Operators 
    Falahhesar, Sara Safarzadeh (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2022-02)
    The achievement of this research is bifurcated. Firstly, for the numerical solution of the first kind linear Fredholm and Volterra integral equations with smooth kernels a numerical method by using Modified Bernstein-Kantorovich ...
  • On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions 
    Al-Khateeb, Areen Saber (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017-01)
    ABSTRACT: In this study we discuss the integral representation of the q-analogue of two special functions, q-GF (gamma function) and q-BF (beta function). This discussion gives a very attractive q-constant.Also, we get the ...
  • On the ω-Multiple Charlier Polynomials 
    Baran, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-09)
    ABSTRACT: Appell polynomials are certain family having wide range of application areas from numerical analysis to analytic function theory. They were defined by Paul Emile Appell in 1880. The most famous Appell polynomials ...
  • (p,q)-Hahn Difference Operator 
    Malyalı, Duygu (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020-01)
    ABSTRACT: One of the main starting point for the theory of calculus is the differentiation operation, which is defined as follows. Firstly, divide the difference of two function values by the difference of the corresponding ...