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Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator

The aim of this manuscript is to introduce a novel form of H-H inequality via ψ-RLFIO for preinvex functions. By employing this approach, we construct a new lemma. In addition, based on this newly derived fractional identity, some new estimation of fractional H-H inequality involving m-preinvex via ψ-RLFIO is investigated. Further, we add some mean-type applications.

Some novel results on Boubaker polynomials leading to an efficient orthogonalization

The orthogonal polynomials have been recognized in literature due to their compatibility in providing robust and accurate solutions of different nonlinear, singular, and complex problems in science and engineering. The Boubaker polynomial (BPs) and its variants to date have been at galore in the recent literature in this context. Although exhaustive applications of the BPs and its variants have been performed, systematic orthogonalization of the polynomials is still a persistent problem. In o...

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