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The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the
periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein seri...
Improved Integral Inequalities For Products Of Convex Functions
Convex function Hadamard's inequality Pachpatte's inequalities
2008/7/1
The inequalities, which Pachpatte has derived from the well known Hadamard's inequality for convex functions, are improved, obtaining new integral inequalities for products of convex functions. These ...
Sharp Integral Inequalities for Products of Convex Functions
Convexity Chebyshev's integral inequality Grüss inequality Andersson inequality
2008/6/26
In this note we present exact lower and upper bounds for the integral of a product of nonnegative convex resp. concave functions in terms of the product of individual integrals. They are found by adap...