A Marchaud type inequality

Jorge Bustamante

Commentationes Mathematicae Universitatis Carolinae (2022)

  • Volume: 62 63, Issue: 2, page 159-167
  • ISSN: 0010-2628

Abstract

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We present a new Marchaud type inequality in 𝕃 p spaces.

How to cite

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Bustamante, Jorge. "A Marchaud type inequality." Commentationes Mathematicae Universitatis Carolinae 62 63.2 (2022): 159-167. <http://eudml.org/doc/298547>.

@article{Bustamante2022,
abstract = {We present a new Marchaud type inequality in $\mathbb \{L\}^p$ spaces.},
author = {Bustamante, Jorge},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Marchaud type inequality},
language = {eng},
number = {2},
pages = {159-167},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A Marchaud type inequality},
url = {http://eudml.org/doc/298547},
volume = {62 63},
year = {2022},
}

TY - JOUR
AU - Bustamante, Jorge
TI - A Marchaud type inequality
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2022
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62 63
IS - 2
SP - 159
EP - 167
AB - We present a new Marchaud type inequality in $\mathbb {L}^p$ spaces.
LA - eng
KW - Marchaud type inequality
UR - http://eudml.org/doc/298547
ER -

References

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  4. Gabushin V. N., Inequalities for the norms of a function and its derivatives in metric L p -metrics, Mat. Zametki 1 (1967), 291–298 (Russian). MR0206700
  5. Johnen H., Inequalities connected with the moduli of smoothness, Mat. Vesnik 9(24) (1972), 289–303. MR0325868
  6. Johnen H., Scherer K., 10.1007/BFb0086569, Constructive Theory of Functions of Several Variables, Proc. Conf., Math. Res. Inst., Oberwolfach, 1976, Lecture Notes in Math., 571, Springer, Berlin, 1977, pages 119–140. MR0487423DOI10.1007/BFb0086569
  7. Marchaud A., Sur les dérivées et sur les différences des fonctions de variables réelles, Thèses de l'entre-deux-guerres (1927), no. 78, 98 pages (French). MR3532941
  8. Rudin W., Functional Analysis, McGraw–Hill Series in Higher Mathematics, McGraw–Hill Book Co., New York, 1973. Zbl0867.46001MR0365062
  9. Timan A. F., Theory of Approximation of Functions of Real Variable, Translated from the Russian by J. Berry, English translation edited and editorial preface by J. Cossar, Pergamon Press Book International Series of Monographs in Pure and Applied Mathematics, 34, The Macmillan Company, Pergamon Press, New York, 1963. MR0192238

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