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

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 journal › Article › peer-review

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 language	English
Pages (from-to)	419-432
Number of pages	14
Journal	Applied Mathematics E - Notes
Volume	19
Publication status	Published - 01-01-2019

All Science Journal Classification (ASJC) codes

Applied Mathematics

Cite this

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title = "Properties and related inequalities of ϕ-frames in normed spaces∗",

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.",

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journal = "Applied Mathematics E - Notes",

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T1 - Properties and related inequalities of ϕ-frames in normed spaces∗

AU - Alfakhr, Mahdi Taleb

AU - Omidvar, Mohsen Erfanian

AU - Moradi, Hamid Reza

AU - Harikrishnan, P. K.

AU - Dragomir, Silvestru Sever

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85069692452

UR - https://www.scopus.com/pages/publications/85069692452#tab=citedBy

M3 - Article

AN - SCOPUS:85069692452

SN - 1607-2510

VL - 19

SP - 419

EP - 432

JO - Applied Mathematics E - Notes

JF - Applied Mathematics E - Notes

ER -

Properties and related inequalities of ϕ-frames in normed spaces^∗

Abstract

All Science Journal Classification (ASJC) codes

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