Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications

• S.S Dragomir ^[1]
  1. [1] Victoria University

     Victoria University

     Australia

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 17, Nº. 2, 2015, págs. 31-48
• Idioma: inglés
• DOI: 10.4067/S0719-06462015000200003
• Enlaces
  • Texto completo
• Resumen
  • español

    Damos refinamientos de la desigualdad trapezoidal generalizada para funciones de variación acotada en términos de la función de variación acumulativa. También probamos aplicaciones a operadores autoadjuntos en espacios de Hilbert complejos.

  • English

    Refinements of the generalized trapezoid inequality for functions of bounded variation in terms of the cumulative variation function are given. Applications for selfadjoint operators on complex Hilbert spaces are also provided.

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