Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
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TL;DR: The capability of fHTCE to perform time-resolved monitoring of changes in the concentration of model neurochemical compounds and improved signal-to-noise ratios with a total analysis time under 10 s is demonstrated.
Abstract: We report a new approach for collecting and deconvoluting the data in Hadamard transform capillary electrophoresis, referred to as fast Hadamard transform capillary electrophoresis (fHTCE). Using fHTCE, total analysis times can be reduced by up to 48% per multiplexed separation compared to conventional Hadamard transform capillary electrophoresis (cHTCE) while providing comparable signal-to-noise ratio enhancements. In fHTCE, the sample is injected following a pseudorandom pulsing sequence derived from the first row of a simplex matrix (S-matrix) in contrast to cHTCE, which utilizes a sequence of twice the length. In addition to the temporal savings provided by fHTCE, a 50% reduction in sample consumption is also realized due to the decreased number of sample injections. We have applied fHTCE to the analysis of mixtures of neurotransmitters and related compounds to yield improved signal-to-noise ratios with a total analysis time under 10 s. In addition, we demonstrate the capability of fHTCE to perform ti...
28 citations
TL;DR: In this article, new properties of functionals associated to the Hermite-Hadamard integral inequality for convex functions are given, and properties of some function functions associated with the integral inequality are discussed.
Abstract: New properties of some functionals associated to the Hermite-Hadamard integral inequality for convex functions are given.
28 citations
TL;DR: In this paper, the Hermite-Hadamard-type inequalities for generalized s-convex functions in the second sense on real linear fractal sets were established for real linear sets.
Abstract: In this paper, we establish the Hermite–Hadamard-type inequalities for the generalized s-convex functions in the second sense on real linear fractal set $$\mathbb {R}^{\alpha }(0<\alpha <1).$$
28 citations
TL;DR: In this article, the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems were discussed.
Abstract: In this paper, we discuss the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples.
28 citations
31 Aug 2019
TL;DR: In this article, the existence and uniqueness of solutions for Hadamard fractional differential equations with non-local integral boundary conditions were investigated by using the Leray Schauder nonlinear alternative.
Abstract: We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with non-local integral boundary conditions, by using the Leray Schauder nonlinear alternative, Leray Schauder degree theory, Krasnoselskiis fixed point theorem, Schaefers fixed point theorem, Banach fixed point theorem, Nonlinear Contractions. Two examples are also presented to illustrate our results.
28 citations