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We provide a unified approach to getting Hermite–Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann–Liouville integrals. Some particular inequalities generalizing the classical results,… Click to show full abstract
We provide a unified approach to getting Hermite–Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann–Liouville integrals. Some particular inequalities generalizing the classical results, such as the trapezoid inequality, Simpson’s inequality, and midpoint inequality are also presented.
Keywords:
convex absolute;
inequalities functions;
absolute values;
hadamard inequalities;
functions convex;
hermite hadamard
Journal Title: Ukrainian Mathematical Journal
Year Published: 2019
Link to full text (if available)
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Journal Title: Ukrainian Mathematical Journal
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!