Open AccessOn the Favard-Type Theorem and the Jackson-Type Theorem (II)
Author(s) -
Hee Sun Jung,
Ryozi Sakai,
Noriaki Suzuki
Publication year - 2011
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.5402/2011/725638
Subject(s) - mathematics , type (biology) , smoothness , equivalence (formal languages) , exponential type , exponential function , pure mathematics , inequality , function (biology) , mathematical analysis , discrete mathematics , combinatorics , ecology , evolutionary biology , biology
Let R=(−∞,∞), and let ∈ℂ1∶ℝ→[0,∞) be an even function. We consider the exponential weights ()=−(), ∈ℝ. In this paper we investigate the relations between the Favard-type inequality and the Jackson-type inequality. We also discuss the equivalence of two K-functionals and the modulus of smoothness.
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