FUNCTIONS OF $_{K}G_{\phi}$-BOUNDED VARIATIONS

  • Published : 2003.09.01

Abstract

For some sequnces of monotone nondecreasing convex $\Phi$-functions $\Phi$$_1$, $\Phi$$_2$ and $\Phi$$_3$and $textsc{k}$-functions $textsc{k}$$_1$, $textsc{k}$$_2$ and $textsc{k}$$_3$, we obtain the most general Holder type inequalities, and some special cases are considered for the functions of $textsc{k}$G$\Phi$-bounded variations.

Keywords

References

  1. Dissertation in Math. Vanderbilt Univ. Generalized functions of bounded variation and their application to the theory of harmonic functions D.S.Cyphert
  2. Bull. Korean Math. Soc. v.23 no.2 Functions of kФ-bounded variations S.K.Kim;J.Kim
  3. On the invariance of classes фBV and ∧BV under composition Pamela,B.Pierce;Danie,Waterman
  4. Trans. Amer. Math. Soc. v.287 Functions of Φ-bounded variation and Riemann-Stieltjes integration M.J.Schramm