On some mean value theorem via covering argument
نویسندگان
چکیده
منابع مشابه
Some 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 کاملVinogradov’s Mean Value Theorem via Efficient Congruencing
We obtain estimates for Vinogradov’s integral which for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided. In particular, the conjectured asymptotic formula in Waring’s problem holds for sums of s kth powers of natural numbers whenever s > 2k + 2k − 3.
متن کاملSome Remarks on Vinogradov's Mean Value Theorem and Tarry's Problem
Let W(k, 2) denote the least number s for which the system of equations ~ _ i x ~ = ~ S = l y i ( 1 <~j~k) has a solution with ~S=lx~+l v e ~ = l y ~ +1. We show that for large k one has W(k, 2) ~< 89 k + logtog k + O(1)), and moreover that when K is large, one has W(k, 2) ~< 89 + 1) + 1 for at least one value k in the interval [K, K 4/3 +~]. We show also that the least s for which the expected...
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 کاملOn Generalized Flett's Mean Value Theorem
We present a new proof of generalized Flett’s mean value theorem due to Pawlikowska (from 1999) using only the original Flett’s mean value theorem. Also, a Trahan-type condition is established in general case.
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: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2020
ISSN: 1844-0835
DOI: 10.2478/auom-2020-0029