Properties and related inequalities of ϕ-frames in normed spaces

Mahdi Taleb Alfakhr, Mohsen Erfanian Omidvar, Hamid Reza Moradi, P. K. Harikrishnan, Silvestru Sever Dragomir

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Abstract

In this paper, we use the properties of sesquilinear forms to introduce a new class of frames, called ϕ-frames. The notion of continuous ϕ-frames, its various properties and characterizations in normed spaces are established. Also, some fundamental identities and certain inequalities related to ϕ-frames are obtained.

Original languageEnglish
Pages (from-to)419-432
Number of pages14
JournalApplied Mathematics E - Notes
Volume19
Publication statusPublished - 01-01-2019

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

Alfakhr, M. T., Omidvar, M. E., Moradi, H. R., Harikrishnan, P. K., & Dragomir, S. S. (2019). Properties and related inequalities of ϕ-frames in normed spaces. Applied Mathematics E - Notes, 19, 419-432.