[PDF] Top 20 On Simpson's Inequality and Applications

... integral inequality which estab- lishes a connection between the integral of the product of two functions and the product of the integrals of the two functions is well known in literature as Gr¨ uss’ ... See full document

... Convex function is a kind of important function and has wide applications in pure and applied mathematics [1]. Since convex analysis appeared in 1960s, there has been tre- mendous interest in generalizing convex ... See full document

... McAndrew, On trapezoid inequality via a Griiss type result and applications, accepted in Tamkang J. Wang, The unified treatment of trapezoid, Simpson and Ostrowski type inequality f[r] ... See full document

... A reverse of the triangle inequality in inner product spaces re- lated to the celebrated Diaz-Metcalf inequality with applications for complex polynomials is given1. Diaz and F.T.[r] ... See full document

... Cebyˇsev’s inequality can be generalized for k ≥ 3 nonnegative n-tuples monotonic in the same direction with nonnegative weights w (see, ...Cebyˇsev’s inequality for k ≥ 3 nonnegative n-tuples in which ... See full document

... his inequality for dif- ferentiable ...and Simpson rules with the aim of obtaining bounds on the quadrature rules in terms of a variety of Lebescue spaces involving, at most, the first deriva- ... See full document

... inertia inequality, it is one of the most important inequality for the triangle, there exist many consequences and applications for this one, see ...geometric inequality, then we discuss ... See full document

... This weight is present in many physical problems; the main body of which exhibit some axial symmetry. Special logarithmic rules are used extensively in the Boundary Element Method popularized by Brebbia (see for example ... See full document

... trowski type inequalities for functions whose modulus of the derivatives are convex and applications. Inequality Theory and Applications, vol. 2 (Chinju/Masan, 2001), 19–32, Nova Sci. Publ., ... See full document

... Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Bellman generalisations of Bessel’s inequality are given.. Applications for complex numbe[r] ... See full document

... some applications of a weighted symmetrization inequality related to a second order boundary value ...the inequality in the context of elastic membranes, and observe that it lends itself to make a ... See full document

... In this paper, we have two major objectives. One is motivated by [10], to give a gener- alization of (1.3) by introducing two real functions φ(x) and ψ (x). The other is to build a class of new inequalities similar to ... See full document

... Some generalizations and refinements of inequality 1.10 can be found in 1, 4–10. In this paper, we achieve an improvement of inequality 1.1 in the sense of subtracting a nonnegative quantity from the right ... See full document

... mean inequality, the Ky-Fan inequality, the H¨older inequality, ...Jensen’s inequality, see the book [1] and the papers [2]-[14] where further references are ... See full document

... [4] X.L. CHENG and J. SUN, A note on the perturbed trapezoid inequality, J. Ineq. Pure. & Appl. Math., 3(2) (2002), Article 29. [ONLINE] http://jipam.vu.edu.au/v3n2/046 01.html [5] J. ROUMELIOTIS, Improved ... See full document

... and inequality, we give our main results (Theorems ...some applications for the moments of discrete random variables, for guessing mappings considered in [3, 4], and for Ozeki’s inequality related to ... See full document

... To obtain the principal results, we presume that the absolute value of the derivative of the considered mapping is (α, m, h)-convex. Next, we substitute this hypothesis with the boundedness of the derivative and with a ... See full document

... where the constant factor sin(π/p) π and pq are best possible. Inequality (.) is well known as Hardy-Hilbert’s inequality, and inequality (.) is named a Hardy-Hilbert type inequality. Both ... See full document

... A weighted interpolation of Jensen’s integral inequality and some applications for Hadamard’s inequality are given1. Some particular examples are also examined.[r] ... See full document

... Information inequality and broadband network access: an analysis of Australian household data Madden, Gary G and Savage, Scott J and Simpson, Michael Curtin University of Technology, Sch[r] ... See full document