[KSCI] Korea Science Citation Index Service

Kwon, Ern Gun (Department of Math-Education Andong National University)

Publication Information

Abstract

We present a new and simple proof of improved Carleson's inequality.

Keywords

Carleson's inequality; Polya-Knopp inequality; Hardy inequality; $H{\ddot{o}}lder^{\prime}s$ inequality;

Citations & Related Records

1	T. Carleman, Sur les fonctions quasi-analytiques, Conferences faites au cinquieme congres des mathematiciens Scandinaves, Helsinki, (1923), 181-196.
2	A. Cizmesija, J. Pecaric, and L. E. Persson, On strengthened Hardy and Polya-Knopp's inequalities, Journal of Approximation Theory, 125 (2003), 74-84. DOI
3	G. H. Hardy, Notes on some points in the integral calculus, LXIV. Further inequalities between integrals, Messenger of Math. 57 (1928), 12-16.
4	G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, 2nd ed. Cambridge University Press, Cambridge, England, 1988.
5	E. G. Kwon, Extension of Holder's inequality (I), Bull. Austral. Math. Soc. 51 (1995), 369-375. DOI
6	E. G. Kwon, On Carleson's inequality, Journal of Inequalities and Applications, 2018:91 (2018), 6pages. https://doi.org/10.1186/s13660-018-1682-2. DOI
7	E. G. Kwon and E. K. Bae, On a continuous form of Holder inequality, Jour. Math. Anal. Appl. 343 (2008), 585-592. DOI
8	K. Knopp, Uber reihen mit positiven gliedern, J. London Math. Soc. 3 (1928), 205-211.
9	L. Carleson, A proof of an inequality of Carleman, Proc. Amer. Math. Soc. 5 (1954), 932-933. DOI