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A mean-value theorem for positive linear functionals

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Abstract

We provide a mean-value theorem for a class of positive linear functionals. As an application, we improve the classical First Mean-value Theorem for Integrals and obtain other related results.

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Acknowledgements

We thank the reviewer for valuable suggestions and help in revising the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114, Cluj-Napoca, Romania

    Mircea Ivan, Vicuta Neagos & Andra-Gabriela Silaghi

Authors
  1. Mircea Ivan
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  2. Vicuta Neagos
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  3. Andra-Gabriela Silaghi
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Correspondence to Mircea Ivan.

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Communicated by G. Teschl.

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Ivan, M., Neagos, V. & Silaghi, AG. A mean-value theorem for positive linear functionals. Monatsh Math 189, 675–681 (2019). https://doi.org/10.1007/s00605-019-01262-0

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