Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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GENERAL HOLDER TYPE INEQUALITIES ON THE FUNCTIONS OF $G_{\kappa}G_{\phi}$-BOUNDED VARIATIONS

  • 발행 : 2009.01.31
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초록

For $G_{\phi}$-sequences ${\phi}_i$ and ${\kappa}$-functions ${\kappa}_i$(i = 1,2,3) we obtain the most general $H{\ddot{o}}lder$ type inequalities on the functions of $G_{\kappa}G_{\phi}$-bounded variations.

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참고문헌

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  3. Pamela B. Pierce and DanielWaterman, On the invariance of classes $\phi$BV and $\Lambda$BV under composition, Preprint..
  4. M. J. Schramm, Functions of $\phi$-bounded variation and Riemann-Stieltjes integration, Trans. Amer. Math. Soc. 287 (1985) 49-63.