A new inequality of Ostrowski–Grüss type and applications to some numerical quadrature rules
نویسندگان
چکیده
منابع مشابه
Numerical Quadrature Rules for Some Infinite Range Integrals
Recently the present author has given a new approach to numerical quadrature and derived new numerical quadrature formulas for finite range integrals with algebraic and/or logarithmic endpoint singularities. In the present work this approach is used to derive new numerical quadrature formulas for integrals of the form J"£" x"e~xf(x) dx and J"o° x"Ep(x)f(x) dx, where Ef(x) is the exponential int...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Application of CAS wavelet to construct quadrature rules for numerical integration
In this paper, based on CAS wavelets we present quadrature rules for numerical solution of double and triple integrals with variable limits of integration. To construct new method, first, we approximate the unknown function by CAS wavelets. Then by using suitable collocation points, we obtain the CAS wavelet coefficients that these coefficients are applied in approximating the unk...
متن کاملA Generalization of the Pre-grüss Inequality and Applications to Some Quadrature Formulae
A generalization of the pre-Grüss inequality is presented. It is applied to estimations of remainders of some quadrature formulas.
متن کاملA unified generalization of some quadrature rules and error bounds
WENJUN LIU, YONG JIANG, AND ADNAN TUNA Abstract. By introducing a parameter, we give a unified generalization of some quadrature rules, which not only unify the recent results about error bounds for generalized mid-point, trapezoid and Simpson’s rules, but also give some new error bounds for other quadrature rules as special cases. Especially, two sharp error inequalities are derived when n is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.089