Publication: Some new estimates for integral inequalities and their applications
Date
Authors
Authors
Bayraktar, Bahtiyar
Butt, S. I.
Napoles, J. E.
Rabossi, F.
Advisor
Language
Type
Publisher:
Springer
Journal Title
Journal ISSN
Volume Title
Abstract
We obtain several new integral inequalities in terms of fractional integral operators for the functions whose first derivatives satisfy either the conditions of the Lagrange theorem or the Lipschitz condition. In some special cases, the obtained results provide better upper estimates than the results known in the literature for the Bullen-type inequality and the Hadamard-type right-hand side inequality. Finally, some error estimates for the trapezoidal formula are discussed.
Description
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Keywords:
Keywords
Hermite-hadamard type, Quasi-convex functions, Fractional integrals, Science & technology, Physical sciences, Mathematics, applied, Mathematics