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A Linear Operator and Associated Families of Meromorphically Multivalent Functions

✍ Scribed by Jin-Lin Liu; H.M. Srivastava


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
123 KB
Volume
259
Category
Article
ISSN
0022-247X

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✦ Synopsis


Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), the authors introduce (and investigate the various properties and characteristics of) two novel families of meromorphically multivalent functions. They also extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions.


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## Abstract The error of approximation by families of linear trigonometric polynomial operators in the scale of __L~p~__‐spaces of periodic functions with 0 < __p__ β©½ +∞ is characterized with the help of realization functionals associated with operators of multiplier type describing smoothness prop