AbstractWe introduce a bound M of f, ‖f‖∞⩽M⩽2‖f‖∞, which allows us to give for 0⩽p<∞ sharp upper bounds, and for −∞<p<0 sharp lower bounds for the average of |f|p over E if the average of f over E is zero. As an application we give a new proof of Grüss's inequality estimating the covariance of two random variables. We also give a new estimate for the error term in the trapezoidal rule
Abstract. The Ostrowski inequality expresses bounds on the deviation of a function from its integral...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
The authors use their recently proved integral inequality to obtain bounds for the covariance of two...
Abstract This paper deals with some new theorems and inequalities about a Fejér type integral inequa...
For p∈[0,1], the generalized Seiffert mean of two positive numbers a and b is defined by Sp(a,b)=p(a...
In this paper, the following sharp estimate is proved: ∫ 0 2π|F′(e iθ)| p, dθ ≤ √π2 1+pΓ(1/2+p/2)/Γ(...
In this paper, the following sharp estimate is proved: ∫ 0 2π|F′(e iθ)| p, dθ ≤ √π2 1+pΓ(1/2+p/2)/Γ(...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
Abstract In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means i...
A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decision...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decisio...
AbstractThe authors use their recently proved integral inequality to obtain bounds for the covarianc...
Abstract. The Ostrowski inequality expresses bounds on the deviation of a function from its integral...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
The authors use their recently proved integral inequality to obtain bounds for the covariance of two...
Abstract This paper deals with some new theorems and inequalities about a Fejér type integral inequa...
For p∈[0,1], the generalized Seiffert mean of two positive numbers a and b is defined by Sp(a,b)=p(a...
In this paper, the following sharp estimate is proved: ∫ 0 2π|F′(e iθ)| p, dθ ≤ √π2 1+pΓ(1/2+p/2)/Γ(...
In this paper, the following sharp estimate is proved: ∫ 0 2π|F′(e iθ)| p, dθ ≤ √π2 1+pΓ(1/2+p/2)/Γ(...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
Abstract In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means i...
A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decision...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
An inequality providing some bounds for the integral mean via Pompeiu’s mean value theorem and appli...
A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decisio...
AbstractThe authors use their recently proved integral inequality to obtain bounds for the covarianc...
Abstract. The Ostrowski inequality expresses bounds on the deviation of a function from its integral...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
The authors use their recently proved integral inequality to obtain bounds for the covariance of two...
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