Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications


Abstract:

There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we consider the Hermite–Hadamard inequality and related inequalities for the class of functions whose absolute value of the third derivative are quasi-convex functions. Finally, the applications of our findings for special functions and particular functions are pointed out.

Año de publicación:

2020

Keywords:

  • Quasi-convex function
  • Hermite-hadamard inequality
  • Hölder inequality

Fuente:

googlegoogle
scopusscopus

Tipo de documento:

Article

Estado:

Acceso abierto

Áreas de conocimiento:

  • Optimización matemática
  • Optimización matemática

Áreas temáticas de Dewey:

  • Álgebra
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Objetivos de Desarrollo Sostenible:

  • ODS 3: Salud y bienestar
  • ODS 4: Educación de calidad
  • ODS 9: Industria, innovación e infraestructura
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