Results 11 to 20 of about 399,252 (315)
On Bi-Dimensional Second µ-Variation
Demonstratio Mathematica, 2014 In this paper, we present a generalization of the notion of bounded slope variation for functions defined on a rectangle Iba in ℝ2. Given a strictly increasing function µ-defined in a closed real interval, we introduce the class BVµ,2 (Iba ), of ...
Ereú Jurancy +2 more
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Some properties of certain subclasses of bounded Mocanu variation with respect to $2k$-symmetric conjugate points [PDF]
Mathematica Bohemica, 2019 We introduce subclasses of analytic functions of bounded radius rotation, bounded boundary rotation and bounded Mocanu variation with respect to $2k$-symmetric conjugate points and study some of its basic properties.
Rasoul Aghalary, Jafar Kazemzadeh
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On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane
International Journal of Differential Equations, 2022 In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel ...
Jurancy Ereú +2 more
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Enhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalities
AIMS Mathematics, 2023 In this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions ...
Hüseyin Budak, Abd-Allah Hyder
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The cohomological equation for Roth type interval exchange maps [PDF]
, 2004 We exhibit an explicit full measure class of minimal interval exchange maps T for which the cohomological equation $\Psi -\Psi\circ T=\Phi$ has a bounded solution $\Psi$ provided that the datum $\Phi$ belongs to a finite codimension subspace of the space
Marmi, Stefano +2 more
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On new Milne-type inequalities for fractional integrals
Journal of Inequalities and Applications, 2023 In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the ...
Hüseyin Budak +2 more
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Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality [PDF]
, 2014 In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka
Aistleitner, Christoph, Dick, Josef
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Entropy Solution Theory for Fractional Degenerate Convection-Diffusion Equations [PDF]
, 2010 We study a class of degenerate convection diffusion equations with a fractional nonlinear diffusion term. These equations are natural generalizations of anomalous diffusion equations, fractional conservations laws, local convection diffusion equations ...
Alibaud +38 more
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On Functions of Bounded (p,k)-Variation
Journal of Function Spaces and Applications, 2012 We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
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Some results on the space of bounded second κ-variation functions
AIMS Mathematics, 2023 In this paper, we prove that if a globally Lipschitz non-autonomous superposition operator maps the space of functions of bounded second $ \kappa $-variation into itself then its generator function satisfies a Matkowski condition.
Jurancy Ereú +3 more
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