[PDF] Top 20 Integral Inequalities and Applications for Bounding the Čebyšev Functional

... FINK, Inequalities Involving Functions and their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1991.. [10] D.S.[r] ... See full document

... [2] P. CERONE, S.S. DRAGOMIR and J. ROUMELIOTIS, Some Ostrowski type inequalities for n time di¤erentiable mappings and applications, Demonstratio Math., 32(2) (1999), 697-712. [3] P. CERONE, S.S. DRAGOMIR, ... See full document

... The following corollary of the above Theorem 4 can be useful for applications: Corollary 1. Let A and B be selfadjoint operators with Sp (A) ; Sp (B) [m; M ] for some real numbers m < M: If f : [m; M ] ! R is ... See full document

... We note that, many authors have considered recently different perturbations for Taylor’s formula and pointed out bounds for the remainders that are, some times, better than the ones provided in the classical case. The ... See full document

... nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan 2003 and Pachpatte ...These inequalities can be used as basic tools in the ... See full document

... Levin, Inequalities for functions of a broad class that con- tains convex, monotone and some other forms of functions, (Russian) Numerical mathematics and mathematical physics (Russian), 138–142, 166, ... See full document

... type inequalities has experi- enced a surge, having been stimulated by their applications in different branches of Applied Mathematics including: in perturbed quadrature rules (see for example [13], [14]) ... See full document

... FEDOTOV, An inequality of Gr¨ uss type for the Riemann-Stieltjes integral and applications for special means, Tamkang J. FEDOTOV, A Gr¨ uss type inequality for mappings of bounded[r] ... See full document

... DRAGOMIR, Weighted Ostrowski like integral inequalities for the ˇ Cebyˇ sev’s difference and applications, (in preparation).. [4] M.[r] ... See full document

... (2000), On a Gr¨ uss- Lupa¸ s type inequality and its application for the es- timation of p − moments of guessing mappings, Math.. (2002), Another Gr¨ uss type inequality for sequences o[r] ... See full document

... [5] ˇ Cebyˇ sev, P.L. (1883), Ob odnom rjade, dostavljajuˇ s´ cem predel’nye veliˇ ciny integralov pri razloˇ zenii podintegral’no˘ı funkcii na mnoˇ zeteli. Priloˇ zeni k 57 tomu Zapisok Imp. Akad. Nauk, No. 4; Polnoe ... See full document

... The aim of the present paper is to establish a new sharp bound for the absolute value of the ˇ Cebyˇ sev functional (1.1). Applications for the trapezoid and mid-point inequality are pointed out. A general ... See full document

... Integral inequalities involving functions of one independent variable, which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of nonlinear dif- ferential ... See full document

... In [28], the author introduces a generalization to the Riemann-Liouville and Hadamard fractional integral and also provided existence results and semigroup properties. In the same reference, author introduces a ... See full document

... Motivated by the results presented above, we establish in this paper some new bounds for the magnitude of C f , in the case when one of the complex valued function, say f , is convex in absolute value while the other is ... See full document

... To the best of authors’ knowledge, only some fractional q-integral inequalities have been established in recent years. That is, only Öğünmez and Özkan [], Bohner and Ferreira [] and Yang [] obtained ... See full document

... Integral inequalities are an important tool to investigate some qualitative and quan- titative properties of solutions to di ff erential equations such as existence, uniqueness, boundedness, and ...these ... See full document

... The theory of time scales was introduced by Hilger 1 in 1988 in order to contain both difference and differential calculus in a consistent way. Recently, many authors have extended some fundamental integral ... See full document

... DRAGOMIR, On the Ostrowski’s integral inequality for mappings with bounded variation and applications, Mathematical Inequalities and Applications, 4(1) (2001), 59-66.. [6] S.S.[r] ... See full document

... In this paper, we obtain some integral inequalities for (1) type functional via generalized fractional integrals.. Preliminaries.[r] ... See full document