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

Research output: Contribution to journalArticle

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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Normed Space
Sesquilinear form

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.
Alfakhr, Mahdi Taleb ; Omidvar, Mohsen Erfanian ; Moradi, Hamid Reza ; Harikrishnan, P. K. ; Dragomir, Silvestru Sever. / Properties and related inequalities of ϕ-frames in normed spaces. In: Applied Mathematics E - Notes. 2019 ; Vol. 19. pp. 419-432.
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Alfakhr, MT, Omidvar, ME, Moradi, HR, Harikrishnan, PK & Dragomir, SS 2019, 'Properties and related inequalities of ϕ-frames in normed spaces', Applied Mathematics E - Notes, vol. 19, pp. 419-432.

Properties and related inequalities of ϕ-frames in normed spaces. / Alfakhr, Mahdi Taleb; Omidvar, Mohsen Erfanian; Moradi, Hamid Reza; Harikrishnan, P. K.; Dragomir, Silvestru Sever.

In: Applied Mathematics E - Notes, Vol. 19, 01.01.2019, p. 419-432.

Research output: Contribution to journalArticle

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Alfakhr MT, Omidvar ME, Moradi HR, Harikrishnan PK, Dragomir SS. Properties and related inequalities of ϕ-frames in normed spaces. Applied Mathematics E - Notes. 2019 Jan 1;19:419-432.