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IK-convergence of sequences of functions

  • Pratulananda Das EMAIL logo , Sayan Sengupta and Jaroslav Šupina
Published/Copyright: October 5, 2019
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Abstract

We continue to investigate the notion of IK-convergence (which concerns with the convergence with respect to one ideal along a set which is “big” with respect to another ideal) introduced by M. Mačaj and M. Sleziak [10] with primary focus on sequences of real functions. Our investigation is based on results by R. Filipów and M. Staniszewski [5, 6] or M. Staniszewski [11].

MSC 2010: 40A35; 40A30; 54A20

The second author is thankful to CSIR for granting Senior Research Fellowship during the tenure of which this work was done. The third author has been supported by the grant 1/0097/16 of Slovak Grant Agency VEGA.


  1. (Communicated by L’ubica Holá)

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Received: 2018-07-24
Accepted: 2019-03-19
Published Online: 2019-10-05
Published in Print: 2019-10-25

© 2019 Mathematical Institute Slovak Academy of Sciences

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