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NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
NP-hardness of Deciding Convexity of Quartic Polynomials Related Problems
2011/1/19
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time)
algorithm that can decide whether a multivariate polynomial of degree four (or higher even
degree) is globa...
Hermite-Hadamard Type Inequalities via (α,m)- Convexity
Convexity Hermite-Hadamard inequality H¨older’s integral inequality
2010/12/13
In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ( ,m)− convex.
A Note on the Modulus of $U$-Convexity and Modulus of $W^*$-Convexity
Modulus of U-convexity Modulus of W*-convexity Coefficient of weak orthogonality Uniform normal
2010/1/25
We present some sufficient conditions for which a Banach space has normal structure in term of the modulus of -convexity, modulus of -convexity and the coefficient of weak orthogonality. Some known r...