New inequalities of Gr ̈uss–Lupa ̧s type andApplications for Selfadjoint Operators

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New inequalities of Gr ̈uss–Lupa ̧s type andApplications for Selfadjoint Operators Mohammad Alomari

In this paper, someˇCebyˇsev–Lupa ̧s type inequal-ities are proved. New inequalities of Gr ̈uss type for Riemann–Stieltjes integral are also obtained. Applications for functions ofselfadjoint operators on complex Hilbert spaces are provided aswell.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/121 Armenian Journal of Mathematics, 8(1) 25-37

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Keywords

Gr ̈uss inequality,ˇCebyˇsev inequality

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