Showing papers in "Journal of Mathematical Analysis and Applications in 2017"

TL;DR: In this article, the Hermite-Hadamard and Hermite Hadamard-Fejer type inequalities for fractional integrals were obtained, which generalize the Riemann-Liouville equivalence.

TL;DR: In this article, an integrable non-local modified Korteweg-de Vries equation (mKdV) was proposed and its exact solutions including soliton and breather through inverse scattering transformation were given.

TL;DR: In this paper, the authors considered the Dirichlet boundary condition for the nonlinear Choquard equation and proved existence and multiplicity results for the equation by variational methods under suitable assumptions on different types of nonlinearities f ( u ).

TL;DR: In this paper, a generalization of the Bernstein polynomial operator was proposed, which is based on the non-negative real parameter. André et al. investigated some elementary properties of this operator, such as end point interpolation, linearity and positivity, and provided another proof of the Weierstrass approximation theorem.

TL;DR: In this paper, it was shown that T ∈ L ( l p 2 ) (p ≥ 2, p ≠ ∞ ) is left symmetric with respect to Birkhoff-James orthogonality if and only if T is the zero operator.

TL;DR: In this article, the authors investigated un-topology, i.e., the topology that corresponds to unconvergence, and showed that un-Topology agrees with the norm topology iff X has a strong unit.

TL;DR: In this paper, the authors discuss Bohr's phenomenon for the class of analytic functions from the unit disk into the wedge domain W α = { w : | arg ⁡ w | π α / 2 }, 1 ≤ α ≤ 2.

TL;DR: In this paper, a simple construction of recursion operators for integrable multidimensional dispersionless systems that admit a Lax pair whose operators are linear in the spectral parameter and do not involve the derivatives with respect to the latter is presented.

TL;DR: In this paper, the behavior of the sampling Kantorovich operators has been studied, when discontinuous functions (signals) are considered in the above sampling series, and the rate of approximation for the family of the above operators is estimated, when uniformly continuous and bounded signals are considered.

TL;DR: In this paper, the Hartogs triangle is generalized to a class of bounded Hartogs domains and the corresponding Bergman projection is bounded on L p if and only if p is in the range ( 2 n n + 1, 2 n − 1 ).

TL;DR: In this paper, the Lax pair and Darboux transformation for the variable-coefficients coupled Hirota equations is constructed based on modulation instability and by taking the limit approach, two types of Nth-order rogue wave solutions with different dynamic structures in compact determinant representations.

TL;DR: In this article, the authors studied the averaging principle for stochastic hyperbolic-parabolic equations driven by Poisson random measures with slow and fast time-scales.

TL;DR: In this article, a general multi-group epidemic model with nonlinear direct and indirect transmission incidence rates, nonlinear pathogen shedding rates, and common environmental contamination for indirect transmission is proposed.

TL;DR: In this paper, a robust optimal investment and reinsurance problem under model ambiguity and default risk for an insurer, who can trade in a saving account, a stock and a defaultable bond and aims to maximize the minimal expected CARA utility.

TL;DR: In this article, an operational method to obtain solutions for differential equations, describing a broad range of physical problems, including ordinary non-integer order and high order partial differential equations is presented.

TL;DR: In this article, a class of isoperimetric problems on R N with respect to weights that are powers of the distance to the origin were solved, and the radiality of optimizers in some Caffarelli-Kohn-Nirenberg inequalities was established.

TL;DR: In this article, the integrable one-dimensional SWW equation of AKNS type is derived starting from its Lax pair, and many nonlocal symmetries are presented by introducing the arbitrary spectrum parameter.

TL;DR: In this article, it was shown that M is invertible with probability at least 1 − C ln 3 ⁡ d / d for C ≤ d ≤ c n/ ln 2 ⁠ n, where c, C are positive absolute constants.

TL;DR: In this paper, it was shown that the maximal operators supported by submanifolds are bounded and continuous on the Triebel-Lizorkin spaces F s p, q (R d ) and the Besov spaces B s p, q ( R d ) for 0 ≤ s 1 and 1 p ∞.

TL;DR: In this article, the existence of contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point has been investigated.

TL;DR: In this paper, it was shown that the square lattice optimizes both the lower and the upper frame bounds of Gabor frames for integer redundancy with the standard Gaussian window.

TL;DR: In this paper, the Kazdan-Warner equation Δ u = c − h e u with c 0 on G, where h defined on V is a known function, was investigated and it was shown that if h ≤ 0 and h ≢ 0, then c − ( h ) = − ∞.

TL;DR: In this article, it was shown that the spectrum of a compact quantum graph with δ-type vertex conditions can be computed by an arbitrarily small adjustment of edge lengths, and that the eigenfunctions, with the exception of those living entirely on a looping edge, can be made to be non-vanishing on all vertices.

TL;DR: In this article, a diffusive predator-prey model of Lotka-Volterra type functional response is studied, where both species obey the logistic growth such that the carrying capacity of the predator is proportional to the prey population and the one for prey is a constant.

TL;DR: In this paper, the authors obtain sufficient conditions for local and global stability of the positive equilibrium and illustrate the stability tests, as well as new effects of two different delays, with examples.

TL;DR: In this article, the authors use the Floquet-Bloch transform to reduce variational formulations of surface scattering problems for the Helmholtz equation from periodic and locally perturbed periodic surfaces to equivalent variational problems formulated on bounded domains.

TL;DR: In this paper, it was shown that every surjective isometry between the unit spheres of two atomic JBW-triples E and B admits a unit extension to a real linear isometry from E into B.

TL;DR: In this article, a magnetic version of the Maz'ya-Shaposhnikova singular limit of nonlocal norms with vanishing fractional parameter was shown to converge to a magnetic norm.

TL;DR: In this article, Baliarsingh et al. introduced the concepts of statistically weighted Ψ Δ p, q -summability, weighted Ω Δ p, q -statistical convergence and weighted strongly ΩΩ Δ q, q −summabilities with respect to the difference operator Δ h, p, Q α, β, γ including ( p, Q ) -analogue of Gamma function and proved a Korovkin type approximation theorem for functions of two variables.

TL;DR: In this paper, the problem of bounding the number of zeros of Span(F) is considered as well as the effectiveness of the upper bound when some Wronskians vanish.