On an integral inequality.

By Josip E. Pecaric, Tomislav Pejkovic. 2004

298 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/68867f75bef5355b1be9c2f4ae1d0b931c3fe96a

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Citations in the corpus

Some new ostrowski-type bounds for the čebyšev functional and applications (2014, unknown): “Ostrowski [11] proved amongst others the following result that is somehow a mixture of the Čebyšev and Grüss results |T ( f ,g)| 1 8 (b−a)(M−m)∥∥g′∥∥∞ , (1.”
Sharp Affine LP Sobolev Inequalities (2002, background): “, [1]) consequence of Bliss’ inequality [4] will be needed.”
Extreme Points and Majorization: Economic Applications (2020, background): “An integral inequality, due to Fan and Lorentz (1954), identifies a large set of convex and Schur-concave functionals.”
Some inequalities involving Hadamard‐type k‐fractional integral operators (2017, background): “Ostrowski [10] established the following generalization of the Chebyshev inequality.”
Sharp bounds for Hardy type operators on higher-dimensional product spaces (2013, background): “For more information about the Hardy type operator, we refer to ([1],[2],[5],[8],[9]) and references therein.”
Selected Topics on Hermite-Hadamard Inequalities and Applications (2003, unknown): “For recent results, see [1], [2] – [3], [5], [73] – [77], [83], [100], [104], [108], [116] , [136] – [134], [141] – [145], [154] and [157] – [168].”
Nonlinear Schrodinger Equations at Critical Regularity (2013, background): “The following theorem is a special case of results of Aubin [2] and Talenti [86] (see also [5, 73]): Theorem 4.”
Comparison of multivariate risks and positive dependence (2004, unknown): “1) was first stated in Rü (1983), the proof being based there on some functional inequalities in Ky Fan and Lorentz (1954). Müller and Scarsini (2001) proved an extension of the comparison result in (4.”
A note on the best constants in some Hardy inequalities (2015, background): “Bliss [1] proved the following result: THEOREM 2.”
The quantitative isoperimetric inequality and related topics (2015, background): “2), see for instance [17, 113, 49], that is va,b(r) = a (1 + brp)(n−p)/p for r ≥ 0, for some a > 0, b > 0.”