New convex integral inequalities involving multiple functions
DOI:
https://doi.org/10.14244/lajm.v4i1.61Keywords:
convexity, integral inequalities, Jensen integral inequalityAbstract
This article explores a modern counterpart to the classical Jensen integral inequality for integrals, which provides an upper bound for convex functions evaluated at an integral. We extend this result to more general settings involving sums and products of integrals of multiple functions. Full details of the proofs are provided, and some examples illustrate the theory.
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Copyright (c) 2025 Christophe Chesneau
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