Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight
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...
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(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...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2017
ISSN: 1846-579X
DOI: 10.7153/jmi-2017-11-72