A mean-value theorem for positive linear functionals

  • Mircea IvanEmail author
  • Vicuta Neagos
  • Andra-Gabriela Silaghi


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.


Positive linear functionals Mean-value theorems Integrals of Riemann type 

Mathematics Subject Classification

26A24 26A42 



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


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsTechnical University of Cluj-NapocaCluj-NapocaRomania

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