On the growth of the modulus of the derivative of algebraic polynomials in bounded and unbounded domains with cusps

被引:0
|
作者
Gun, Cevahir Doganay [1 ]
机构
[1] Gaziantep Univ, Nizip Fac Educ, Dept Math & Sci Educ, Gaziantep, Turkiye
关键词
Algebraic polynomials; conformal mapping; smooth curve; WALSH-TYPE INEQUALITIES; ORTHOGONAL POLYNOMIALS; REGIONS; INTERIOR; CORNERS; UNIFORM; WEIGHT; ANGLES;
D O I
10.2298/FIL2327243G
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this present work, we study the behavior of the derivatives of algebraic polynomials in the bounded and unbounded regions bounded by piecewise smooth curve with interior and exterior cusps.
引用
收藏
页码:9243 / 9258
页数:16
相关论文
共 50 条
  • [31] (p, q)- LAPLACIAN PROBLEMS WITH PARAMETERS IN BOUNDED AND UNBOUNDED DOMAINS
    El Manouni, Said
    Perera, Kanishka
    Winkert, Patrick
    HOUSTON JOURNAL OF MATHEMATICS, 2023, 49 (04): : 921 - 937
  • [32] Existence of bounded solutions for nonlinear elliptic equations in unbounded domains
    A. Dall’aglio
    V. De Cicco
    D. Giachetti
    J. -P. Puel
    Nonlinear Differential Equations and Applications NoDEA, 2004, 11 : 431 - 450
  • [33] Absolute and convective instabilities of waves on unbounded and large bounded domains
    Sandstede, B
    Scheel, A
    PHYSICA D-NONLINEAR PHENOMENA, 2000, 145 (3-4) : 233 - 277
  • [34] Pseudospectral methods for density functional theory in bounded and unbounded domains
    Nold, Andreas
    Goddard, Benjamin D.
    Yatsyshin, Peter
    Savva, Nikos
    Kalliadasis, Serafim
    JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 334 : 639 - 664
  • [35] On a perturbed p(x)-Laplacian problem in bounded and unbounded domains
    Cammaroto, F.
    Vilasi, L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (01) : 71 - 83
  • [36] Existence of bounded solutions for nonlinear elliptic equations in unbounded domains
    Dall'Aglio, A
    De Cicco, V
    Giachetti, D
    Puel, JP
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, 11 (04): : 431 - 450
  • [37] On the Stability Analysis of Darboux Problem on Both Bounded and Unbounded Domains
    Celik, Canan
    Develi, Faruk
    APPLICATIONS OF MATHEMATICS, 2024, 69 (01) : 139 - 150
  • [38] On the stability analysis of Darboux problem on both bounded and unbounded domains
    Canan Çelik
    Faruk Develi
    Applications of Mathematics, 2024, 69 : 139 - 150
  • [39] NONSTATIONARY STOKES SYSTEM WITH VARIABLE VISCOSITY IN BOUNDED AND UNBOUNDED DOMAINS
    Abels, Helmut
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2010, 3 (02): : 141 - 157
  • [40] Bounded critical Fatou components are Jordan domains for polynomials
    Pascale Roesch
    Yongcheng Yin
    Science China Mathematics, 2022, 65 : 331 - 358