Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law

2020 ◽  
Vol 44 (2) ◽  
pp. 1664-1673
Author(s):  
Saad Ihsan Butt ◽  
Milica Klaričić Bakula ◽  
Đilda Pečarić ◽  
Josip Pečarić
Keyword(s):  
Grüss Inequality

scholarly journals Grüss inequality for completely bounded maps

2004 ◽  
Vol 390 ◽  
pp. 287-292 ◽  
Author(s):  
Ivan Perić ◽  
Rajna Rajić
Keyword(s):  
Grüss Inequality

scholarly journals A Grüss inequality for n-positive linear maps

2010 ◽  
Vol 433 (8-10) ◽  
pp. 1555-1560 ◽  
Author(s):  
Mohammad Sal Moslehian ◽  
Rajna Rajić
Keyword(s):  
Grüss Inequality ◽  
Linear Maps ◽  
Positive Linear Maps

scholarly journals Some Refinements of Ostrowski’s Inequality and an Extension to a 2-Inner Product Space

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 707
Author(s):  
Nicuşor Minculete
Keyword(s):  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Grüss Inequality ◽  
Chebyshev Function ◽  
Ostrowski’S Inequality

The purpose of this paper is to prove certain refinements of Ostrowski’s inequality in an inner product space. We study extensions of Ostrowski type inequalities in a 2-inner product space. Finally, some applications which are related to the Chebyshev function and the Grüss inequality are presented.

scholarly journals Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces

2017 ◽  
Vol 9 (1) ◽  
pp. 74-93
Author(s):  
Sever S. Dragomir
Keyword(s):  
Hilbert Spaces ◽  
Convex Functions ◽  
Grüss Inequality ◽  
Selfadjoint Operators ◽  
Trace Inequalities

AbstractSome trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.

A new Ostrowski–Grüss inequality involving 3n knots

2014 ◽  
Vol 235 ◽  
pp. 272-282 ◽  
Author(s):  
Vu Nhat Huy ◽  
Quốc-Anh Ngô
Keyword(s):  
Grüss Inequality

Some bounds for integrals with refinements of the Grüss inequality

2011 ◽  
Vol 42 (3) ◽  
pp. 187-202 ◽  
Author(s):  
R. Sharma ◽  
R. Bhandari ◽  
A. Thakur
Keyword(s):  
Grüss Inequality

scholarly journals On properties of inner product type integral transformers

2020 ◽  
Vol 4 (2) ◽  
pp. 160-169
Author(s):  
Benard Okelo ◽  
Keyword(s):  
Quantum Theory ◽  
Product Type ◽  
Inner Product ◽  
Grüss Inequality ◽  
Norm Inequalities ◽  
Unitarily Invariant Norms ◽  
Type Integral

In this paper, we give characterizations of certain properties of inner product type integral transformers. We first consider unitarily invariant norms and operator valued functions. We then give results on norm inequalities for inner product type integral transformers in terms of Landau inequality, Grüss inequality. Lastly, we explore some of the applications in quantum theory.

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