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Currently displaying 1 – 3 of 3

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A study of various results for a class of entire Dirichlet series with complex frequencies

Niraj Kumar; Garima Manocha — 2018

Mathematica Bohemica

Let $F$ be a class of entire functions represented by Dirichlet series with complex frequencies $\sum a_{k} e^{〈 λ^{k}, z 〉}$ for which $(| λ^{k} {| / e)}^{| λ^{k} |} k! | a_{k} |$ is bounded. Then $F$ is proved to be a commutative Banach algebra with identity and it fails to become a division algebra. $F$ is also proved to be a total set. Conditions for the existence of inverse, topological zero divisor and continuous linear functional for any element belonging to $F$ have also been established.

Rate of convergence for a general sequence of Durrmeyer type operators.

Kumar, Niraj — 2004

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A note on integral modification of the Meyer-König and Zeller operators.

Gupta, Vijay; Kumar, Niraj — 2003

International Journal of Mathematics and Mathematical Sciences

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