PlumX Metrics
Embed PlumX Metrics

Hermite–Hadamard-type inequalities for strongly (α,m)-convex functions via quantum calculus

Journal of Applied Mathematics and Computing, ISSN: 1865-2085, Vol: 70, Issue: 5, Page: 4971-4994
2024
  • 2
    Citations
  • 0
    Usage
  • 0
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    2
    • Citation Indexes
      2

Article Description

In this paper, we derive a quantum analogue of Hermite–Hadamard-type inequalities for twice differentiable convex functions whose second derivatives in absolute value are strongly (α,m)-convex. We obtain new bounds using the Ho¨lder and power mean inequalities. Moreover, we provide suitable examples in support of our theoretical results. We correlate our findings with comparable results in the literature and show that the obtained results are refinements and improvements.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know