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A Posteriori Error Analysis for A Class of Integral Equations and Variational Inequalities
Integral Equations Variational Inequalities
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2015/12/11
We consider elliptic and parabolic variational equations and inequalities governed by
integro-differential operators of order 2s ∈ (0,2]. Our main motivation is the pricing of European
or Amer...
On Some Inequalities of Simpson's Type via h-Convex Functions
h− convex and h− concave functions Simpson抯 Inequality Holder nequality
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2012/6/21
In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give...
Norm inequalities for square functions in some Morrey's subspaces
amalgams spaces Morrey spaces commutator g-function of Littlewood-Paley Lusin area function
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2012/5/9
We prove that the intrinsic square function and the intrinsic Littlewood-Paley $g^{\ast}_{\lambda}$-function as defined by Wilson, are bounded in a family of weighted subspaces of Morrey spaces. The c...
Hermite-Hadamard's inequalities for preinvex functions via fractional integrals and related fractional inequalities
Hermite-Hadamard inequalities invex set preinvex function fractional integral
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2012/4/17
In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type...
Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems
Lyapunov inequalities periodic boundary value problems resonance
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2010/12/7
This paper is devoted to the study of Lyapunov type inequalities for periodic conservative systems. The main results are derived from a previous analysis which relates the best Lyapunov constants to s...
Hadamard Type Inequalities for $m$-Convex and $(\alpha,m)$-Convex Functions
$m$-convex functions $(lpha,m)$-convex functions Hadamard's inequalities
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2010/1/22
In this paper we establish several Hadamard type inequalities for differentiable -convex and -convex functions. We also establish Hadamard type inequalities for products of two -convex or -convex fu...