Publication: On generalizations of integral inequalities
Abstract
In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequali-ties.
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Keywords
Hermite-hadamard type, S-convex, Differentiable mappings, Simpsons type, Real numbers, Derivatives, Convex function, Hermite-hadamard inequality, Simp-son-type inequality, Lipschitz conditions, Lagrange theorem, Rie-mann-liouville fractional integral, Science & technology, Physical sciences, Mathematics, Mathematics
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