CONVOLUTION TECHNIQUE FOR λ-CLOSE-TO-CONVEX FUNCTIONS

被引：1

作者：

Noor, Khalida Inayat ^{[1
]}

Noor, Muhammad Aslam ^{[1
]}

Awan, Muhammad Uzair ^{[2
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Islamabad, Pakistan

[2] GC Univ Faisalabad, Dept Math, Faisalabad, Pakistan

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 14卷 / 02期

关键词：

starlike; close-to-convex functions; Janowski functions; conic domains; sub ordina-tion; integral operators; INEQUALITIES;

D O I：

10.30546/2219-1259.14.2.2023.178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the convolution and subordination techniques to introduce certain new subclasses of analytic functions which are related with the concept of A-close-to convexity in the open unit disc. Several interesting properties with applications are studied.

引用

页码：178 / 184

页数：7

共 16 条

[1]

Akkurt A, 2021, APPL COMPUT MATH-BAK, V20, P408

[2] OPTIMALITY AND DUALITY RESULTS FOR NEW CLASSES OF NONCONVEX QUASIDIFFERENTIABLE VECTOR OPTIMIZATION PROBLEMS [J].

Antczak, Tadeusz ;

Arana-Jimenez, Manuel .

APPLIED AND COMPUTATIONAL MATHEMATICS, 2022, 21 (01) :21-34

[3] CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].

BERNARDI, SD .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&

[4] SOME OSTROWSKI-MERCER TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS [J].

Butt, Saad Ihsan ;

Nasir, Jamshed ;

Dokuyucu, Mustafa Ali ;

Akdemir, Ahmet Ocak ;

Set, Erhan .

APPLIED AND COMPUTATIONAL MATHEMATICS, 2022, 21 (03) :329-348

[5]

Eenigenburg P., 1983, General inequalities, V64

[6]

Goodman A.W., 1983, Univalent functions, VII

[7]

Janowski W., 1973, Annales Polonici Mathematici, V28, P297

[8]

Kanas S., 2003, Int. J. Math. Math. Sci, V38, P2389, DOI [10.1155/S0161171203302212, DOI 10.1155/S0161171203302212]

[9]

Kaplan W., 1952, Michigan Math. J., V1, P169, DOI [10.1307/mmj/1028988895, DOI 10.1307/MMJ/1028988895]

[10] SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS [J].

LIBERA, RJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) :755-&

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