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From integral estimates of functions to uniform and locally averaged ones

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Abstract

Obtaining pointwise estimates from above for a function or its averages, under known integral restrictions on the growth of the function, often arise in the function theory. We offer an approach to such problems based on integral Jensen’s inequality with a convex function.

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Authors and Affiliations

  1. Bashkir State University, ul. Z. Validi 32, Ufa, 450076, Russia

    R. A. Baladai & B. N. Khabibullin

Authors
  1. R. A. Baladai
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  2. B. N. Khabibullin
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Correspondence to R. A. Baladai.

Additional information

Original Russian Text © R.A. Baladai, B.N. Khabibullin, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 10, pp. 15–25.

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Baladai, R.A., Khabibullin, B.N. From integral estimates of functions to uniform and locally averaged ones. Russ Math. 61, 11–20 (2017). https://doi.org/10.3103/S1066369X17100036

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  • DOI: https://doi.org/10.3103/S1066369X17100036

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