Results 81 to 90 of about 11,182,581 (267)
On Caputo fractional derivative inequalities by using strongly (α,h−m)-convexity
AIMS Mathematics, 2022 In the literature of mathematical inequalities, one can have different variants of the well-known Hadamard inequality for CFD (Caputo fractional derivatives).
Tao Yan +3 more
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Quadrivariate existence theorems and strong representability
, 2011 In this paper, we give conditions under which we can compute the conjugate of a convex function on the product of two Frechet spaces defined in terms of another convex function on the product of two (possibly different) Frechet spaces. We use this result
Simons, Stephen
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Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]
, 2013 We construct a Lipschitz function on $\er^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L.
Pokorny, Dusan
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, 2018 This paper considers a conceptual version of a convex optimization algorithm whic is based on replacing a convex optimization problem with the root-finding problem for the approximate sub-differential mapping which is solved by repeated projection onto ...
Nurminski, Evgeni
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Journal of Inequalities and ApplicationsNew ways for comparing and bounding strongly ( s , m ) $(s,m)$ -convex functions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored.
Jie Li +4 more
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Some majorization integral inequalities for functions defined on rectangles
Journal of Inequalities and Applications, 2018 In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles.
Shanhe Wu +3 more
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Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 more
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Fixed points in the family of convex representations of a maximal monotone operator
, 2008 Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation.
Svaiter, B. F.
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Approximation of Convex Functions
Real Analysis Exchange, 2004 It is known [\textit{M. Ghomi}, Proc. Am. Math. Soc. 130, No.~8, 2255--2259 (2002; Zbl 0999.26008)] that every convex function on an open interval \(I\) can be uniformly approximated by convex \(C^\infty\)-functions on every compact subinterval \([a,b]\) of \(I\). Ghomi's approach requires the knowledge of Lebesgue integral and convolutions. The aim of
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Hermite-Hadamard type inequalities for r-convex functions in q-calculus
Le Matematiche, 2015 The aim of this work is to establish the q-analogue of Hermite-Hadamard inequalities for convex functions and r-convex functions.
Kamel Brahim, Riahi Latifa, Sabrina Taf
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