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20162026
most citedA convex treatment of numerical radius inequalities

25 citations · 88 across the 30 of their papers we have counts for

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Showing 2020Show all

7 papers · 1 filter

math.FA2020

New Estimates for the Numerical Radius

Hamid Reza Moradi, Mohammad Sababheh

In this article, we present new inequalities for the numerical radius of the sum of two Hilbert space operators. These new inequalities will enable us to obtain many generalization…

math.FA2020★ 15 cited

Buzano, Kreĭn and Cauchy-Schwarz inequalities

Mohammad Sababheh, Hamid Reza Moradi, Zahra Heydarbeygi

The Cauchy-Schwarz, Buzano and Kre\uın inequalities are three inequalities about inner product. The main goal of this article is to present refinements of Buzano and Cauchy-Schwarz…

math.FA2020★ 25 cited

A convex treatment of numerical radius inequalities

Zahra Heydarbeygi, Mohammad Sababheh, Hamid Reza Moradi

In this article, we prove an inner product inequality for Hilbert space operators. This inequality, then, is utilized to present a general numerical radius inequality using convex…

math.FA2020

Singular Values Inequalities for Matrix Means

Mohammed Sababheh, Shigeru Furuichi, Shiva Sheybani +1

In this article, we show multiple inequalities for the singular values of the difference of matrix means. The obtained results refine and complement some well established results i…

math.FA2020★ 5 cited

Further Subadditive Matrix Inequalities

I. H. Gumus, H. R. Moradi, M. Sababheh

Matrix inequalities that extend certain scalar ones have been at the center of numerous researchers' attention. In this article, we explore the celebrated subadditive inequality fo…

math.FA2020

More About Operator Order Preserving

Gholamreza Karamali, Hamid Reza Moradi, Mohammad Sababheh

It is well known that increasing functions do not preserve operator order in general; nor do decreasing functions reverse operator order. However, operator monotone increasing or o…

math.FA2020★ 1 cited

A new treatment of convex functions

M. Sababheh, S. Furuichi, H. R. Moradi

Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates w…