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An inequality of the Hölder type, connected with Stieltjes integration

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Acta Mathematica

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Memoirs and books referred to

  1. Besicovitch, A. S.: Sur la nature des fonctions à carré sommable et des ensembles mesurables, Fundamenta Math. 4 (1923) 172–195.

    Google Scholar 

  2. Bohr, H.: The arithmetic and geometric means, Journ. London Math. Soc. 10 (1935) 114.

    Article  MATH  Google Scholar 

  3. Hardy, G. H.: Weierstrass's non differentiable function, Trans. Amer. Math. Soc. 17 (1916), 301–325.

    Article  MathSciNet  MATH  Google Scholar 

  4. Hardy, G. H. andLittlewood, J. E.: A convergence criterion for Fourier series, Math. Zeitschrift 28 (1928) 612–634.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hardy, G. H., Littlewood, J. E., andPólya, G.: Inequalities, Cambridge 1934.

  6. Helly, E.: Über lineare Funktionaloperationen, Wiener Sitzungsberichte 121 (1912), p. 265.

    MATH  Google Scholar 

  7. Kogbetliantz, E.: Les séries trigonométriques et les séries sphériques, Annales Sc. de l'Ecole Normale (3) 40 (1923) 259–323.

    MathSciNet  Google Scholar 

  8. Kuttner, B.: A theorem on trigonometric series, Journ. London Math. Soc. 10 (1935) 131–135.

    MATH  Google Scholar 

  9. Pollard, S.: The Stieltjes integral and its generalisations, Quart. Journ. of Math. 49 (1923) 73–138.

    Google Scholar 

  10. Pollard, S. andYoung, R. C.: On the integral\(\int\limits_a^b {\frac{{dF(t)}}{{x - t}},} \), Proc. London Math. Soc. (2) 28 (1928) 293–300.

    Google Scholar 

  11. Wiener, N.: The Quadratic Variation of a function and its Fourier coefficients, Journ. Mass. Inst. of Technology 3 (1924) 73–94.

    Google Scholar 

  12. Zygmund, A.: Trigonometrical series, Warsaw (1935).

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Young, L.C. An inequality of the Hölder type, connected with Stieltjes integration. Acta Math. 67, 251–282 (1936). https://doi.org/10.1007/BF02401743

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