Ostrowski and Trapezoid type inequalities related to Pompeiu's mean value theorem
نویسندگان
چکیده
منابع مشابه
Ostrowski and Trapezoid Type Inequalities Related to Pompeiu’s Mean Value Theorem with Complex Exponential Weight
We present some inequalities of Ostrowski and trapezoid type with complex exponential weight, for complex-valued absolutely continuous functions. These inequalities are related to Pompeiu’s mean value theorem. Special cases of these inequalities are applied to obtain (i) some approximation results for the finite Fourier and Laplace transforms; (ii) refinements of the Ostrowski and trapezoid ine...
متن کاملWeighted Ostrowski, Trapezoid and Grüss Type Inequalities on Time Scales
In this paper we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski, trapezoid and Grüss type inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.
متن کاملAn Inequality of Ostrowski Type via Pompeiu’s Mean Value Theorem
(b− a)M, for all x ∈ [a, b] . The constant 14 is best possible in the sense that it cannot be replaced by a smaller constant. In [2], the author has proved the following Ostrowski type inequality. Theorem 2. Let f : [a, b] → R be continuous on [a, b] with a > 0 and differentiable on (a, b) . Let p ∈ R\ {0} and assume that Kp (f ) := sup u∈(a,b) { u |f ′ (u)| } < ∞. Then we have the inequality...
متن کاملSome Ostrowski Type Inequalites via Cauchy’s Mean Value Theorem
Some Ostrowski type inequalities via Cauchy’s mean value theorem and applications for certain particular instances of functions are given.
متن کاملA companion for the Ostrowski and the generalised trapezoid inequalities
A companion for the Ostrowski and the generalised trapezoid inequalites for various classes of functions, including functions of bounded variation, Lipschitzian, convex and absolutely continuous functions is established. Applications for weighted means are also given.
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: Journal of Mathematical Inequalities
سال: 2015
ISSN: 1846-579X
DOI: 10.7153/jmi-09-61