Journal of Inequalities and Applications (Jun 2021)

Generalized Jensen’s functional on time scales via extended Montgomery identity

  • Sofia Ramzan,
  • Ammara Nosheen,
  • Rabia Bibi,
  • Josip Pečarić

Journal volume & issue
Vol. 2021, no. 1
pp. 1 – 17


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Abstract In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex functions with the help of an extended Montgomery identity. Moreover, the bounds have been suggested for identities associated with the generalized Jensen-type functional.