An elementary proof of a converse mean-value theorem
نویسندگان
چکیده
منابع مشابه
An Elementary Proof of the Strong Converse Theorem for the Multiple–Access Channel
In [1] we determined the capacity region of the multiple–access channel (MAC) by proving a coding theorem and its weak converse. Recently Dueck [2] proved a strong converse theorem in the sense of Wolfowitz [3]. His proof uses the Ahlswede–Gács–Körner [4] method of “blowing up decoding sets” in conjunction with a new “wringing technique”. This technique makes it now possible to prove strong con...
متن کاملAn Elementary Proof of Lebesgue's Differentiation Theorem
The fact that a continuous monotone function is differentiable almost everywhere was established by Lebesgue in 1904. Riesz gave a completely elementary proof of this theorem in 1932 by using his ’Rising Sun Lemma’. Other than Riesz’s, all the proofs of this theorem utilize measure theory. Also a geometric proof which involves measure theory and sets of measure zero was given by D. Austin. The ...
متن کاملAn Elementary Proof of Marden's Theorem
I call this Marden’s Theorem because I first read it in M. Marden’s wonderful book [6]. But this material appeared previously in Marden’s earlier paper [5]. In both sources Marden attributes the theorem to Siebeck, citing a paper from 1864 [8]. Indeed, Marden reports appearances of various versions of the theorem in nine papers spanning the period from 1864 to 1928. Of particular interest in wh...
متن کاملAn elementary proof of Blackwell’s theorem
This paper presents a short and elementary proof of Blackwell’s theorem. This theorem states the statistical conditions under which one information structure (or experiment) is more informative than another information structure. By more informative we mean that one information structure does not have less economic value to any decision-maker than another information structure, regardless of th...
متن کاملAn Elementary Proof of Ap Ery's Theorem
We present a new ‘elementary’ proof of the irrationality of ζ(3) based on some recent ‘hypergeometric’ ideas of Yu. Nesterenko, T. Rivoal, and K. Ball, and on Zeilberger’s algorithm of creative telescoping. A question of an arithmetic nature of the values of Riemann’s zeta function
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: International Journal of Mathematical Education in Science and Technology
سال: 2008
ISSN: 0020-739X,1464-5211
DOI: 10.1080/00207390802276218