Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications
zbMath1339.26049MaRDI QIDQ267003
Publication date: 7 April 2016
Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.nihmj/1459343070
selfadjoint operatorsunitary operatorsintegral inequalitiesGrüss inequalityChebyshev functionalabsolutely continuous functionsfunctions of selfadjoint operatorsfunctions of unitary operatorsLebesgue normstrapezoid inequality
Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
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- Some inequalities for continuous functions of selfadjoint operators in Hilbert spaces
- A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces
- Approximating \(n\)-time differentiable functions of selfadjoint operators in Hilbert spaces by two point Taylor type expansion
- Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications
- A variant of Jensen's inequality of Mercer's type for operators with applications
- Hadamard's inequality and trapezoid rules for the Riemann-Stieltjes integral
- Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces
- Grüss-type inequalities
- Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral.
- New bounds for the Čebyšev functional
- \(c_ p\)
- Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
- Vector and operator trapezoidal type inequalities for continuous functions of selfadjoint operators in Hilbert spaces
- Some inequalities relating to upper and lower bounds for the Riemann-Stieltjes integral
- Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality
- NEW ESTIMATES OF THE CEBYSEV FUNCTIONAL FOR STIELTJES INTEGRALS AND APPLICATIONS
- Sharp bounds of Čebyšev functional for Stieltjes integrals and applications
- Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]
- On an integral inequality
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