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On the Favard-Type Theorem and the Jackson-Type Theorem (II)
- Source :
- ISRN Applied Mathematics. 2011:1-20
- Publication Year :
- 2011
- Publisher :
- Hindawi Limited, 2011.
-
Abstract
- Let R = ( − ∞ , ∞ ) , and let 𝑄 ∈ ℂ 1 ∶ ℝ → [ 0 , ∞ ) be an even function. We consider the exponential weights 𝑤 ( 𝑥 ) = 𝑒 − 𝑄 ( 𝑥 ) , 𝑥 ∈ 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.
Details
- ISSN :
- 20905572 and 20905564
- Volume :
- 2011
- Database :
- OpenAIRE
- Journal :
- ISRN Applied Mathematics
- Accession number :
- edsair.doi.dedup.....eaa20b8a2c7d9f0887e3472d1004882f