Coefficient estimates and integral mean estimates for certain classes of analytic functions

被引:1
|
作者
Ali, Md Firoz [1 ]
Vasudevarao, Allu [2 ]
机构
[1] Natl Inst Technol Calicut, Dept Math, Calicut 673601, Kerala, India
[2] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 752050, Odisha, India
关键词
CONVEX HULLS; FAMILIES;
D O I
10.1016/j.crma.2019.04.013
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we consider a class of functions that are subordinate to certain convex functions in one direction and determine the closed convex hull and its extreme points for functions in this class. Using these results, we solve two extremal problems, namely, coefficient estimates and L-p mean estimates for functions in this class. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:436 / 442
页数:7
相关论文
共 50 条
  • [41] On certain classes of analytic functions defined by Noor integral operator
    Noor, KI
    Noor, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) : 244 - 252
  • [42] RELATIONSHIP OF THE BERNARDI INTEGRAL OPERATOR WITH CERTAIN CLASSES OF ANALYTIC FUNCTIONS
    Arif, Muhammad
    Raza, Mohsan
    Ul Haq, Miraj
    Srivastava, Gautam
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 575 - 592
  • [43] COEFFICIENT ESTIMATES FOR SOME CLASSES OF SPIRAL-LIKE FUNCTIONS
    GOPALAKRISHNA, HS
    UMARANI, PG
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1980, 11 (08): : 1011 - 1017
  • [44] COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Zireh, A.
    Audegani, E. Analouei
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (04): : 881 - 889
  • [45] COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS
    Adegani, Ebrahim Analouei
    Bulut, Serap
    Zireh, Ahmad
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (02) : 405 - 413
  • [46] Sharp Coefficient Estimates for Analytic Functions Associated with Lemniscate of Bernoulli
    Nawaz, Rubab
    Fayyaz, Rabia
    Breaz, Daniel
    Cotirla, Luminita-Ioana
    MATHEMATICS, 2024, 12 (15)
  • [47] Coefficient estimates for a subclass of analytic functions using Faber polynomials
    Saravanan, G.
    Muthunagai, K.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 154 - 160
  • [48] ON THE OPTIMALITY OF CERTAIN ESTIMATES FOR ALGEBRAIC VALUES OF ANALYTIC-FUNCTIONS
    WAKABAYASHI, I
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1985, 39 (DEC): : 400 - 414
  • [49] Coefficient and Fekete-Szego Problem Estimates for Certain Subclass of Analytic and Bi-Univalent Functions
    Mahzoon, Hesam
    FILOMAT, 2020, 34 (14) : 4637 - 4647
  • [50] COEFFICIENT ESTIMATES FOR A CERTAIN SUBCLASS OF BI- UNIVALENT FUNCTIONS
    Altinkaya, Sahsene
    Yalcin, Sibel
    MATEMATICHE, 2016, 71 (02): : 53 - 61