This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind. Moreover, we d...This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. The relations between these numbers and Stirling and Bernoulli numbers are obtained. Furthermore, some interesting special cases of the generalized higher order Daehee and Bernoulli numbers and polynomials are deduced.展开更多
In this paper, the definitons of both higher-order multivariable Euler's numbersand polynomial. higher-order multivariable Bernoulli's numbers and polynomial aregiven and some of their important properties...In this paper, the definitons of both higher-order multivariable Euler's numbersand polynomial. higher-order multivariable Bernoulli's numbers and polynomial aregiven and some of their important properties are expounded. As a result, themathematical relationship between higher-order multivariable Euler's polynomial(numbers) and higher-order higher -order Bernoulli's polynomial (numbers) are thusobtained.展开更多
This paper is devoted to find the numerical solutions of one dimensional general nonlinear system of third-order boundary value problems (BVPs) for the pair of functions using Galerkin weighted residual method. We der...This paper is devoted to find the numerical solutions of one dimensional general nonlinear system of third-order boundary value problems (BVPs) for the pair of functions using Galerkin weighted residual method. We derive mathematical formulations in matrix form, in detail, by exploiting Bernstein polynomials as basis functions. A reasonable accuracy is found when the proposed method is used on few examples. At the end of the study, a comparison is made between the approximate and exact solutions, and also with the solutions of the existing methods. Our results converge monotonically to the exact solutions. In addition, we show that the derived formulations may be applicable by reducing higher order complicated BVP into a lower order system of BVPs, and the performance of the numerical solutions is satisfactory. .展开更多
红边(REP)是绿色植物叶子光谱曲线在680nm～740nm之间变化率最快的点,也是一阶导数光谱在该区间内的拐点。本文总结了红边参数的种类,红边在植物种类的识别、植物时相的识别、植物生物参数估测和植物生长状况监测等方面的应用,并介绍了...红边(REP)是绿色植物叶子光谱曲线在680nm～740nm之间变化率最快的点,也是一阶导数光谱在该区间内的拐点。本文总结了红边参数的种类,红边在植物种类的识别、植物时相的识别、植物生物参数估测和植物生长状况监测等方面的应用,并介绍了红边参数其适用范围和使用方法等,阐述了红边在植被研究中的重要性,分析了植被红边技术的发展方向和应用前景;同时总结了线性内插模型、反高斯模型、拉格朗日模型、多项式模型和有理函数新模型等五种红边定量分析方法及应用,以及它们的适用范围等,并介绍了G.V.G.BARANOS-KI and J.G.ROKNE采用有理函数新模型分析过程以确定红边位置的"新"方法。展开更多
文摘This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. The relations between these numbers and Stirling and Bernoulli numbers are obtained. Furthermore, some interesting special cases of the generalized higher order Daehee and Bernoulli numbers and polynomials are deduced.
文摘In this paper, the definitons of both higher-order multivariable Euler's numbersand polynomial. higher-order multivariable Bernoulli's numbers and polynomial aregiven and some of their important properties are expounded. As a result, themathematical relationship between higher-order multivariable Euler's polynomial(numbers) and higher-order higher -order Bernoulli's polynomial (numbers) are thusobtained.
文摘This paper is devoted to find the numerical solutions of one dimensional general nonlinear system of third-order boundary value problems (BVPs) for the pair of functions using Galerkin weighted residual method. We derive mathematical formulations in matrix form, in detail, by exploiting Bernstein polynomials as basis functions. A reasonable accuracy is found when the proposed method is used on few examples. At the end of the study, a comparison is made between the approximate and exact solutions, and also with the solutions of the existing methods. Our results converge monotonically to the exact solutions. In addition, we show that the derived formulations may be applicable by reducing higher order complicated BVP into a lower order system of BVPs, and the performance of the numerical solutions is satisfactory. .
文摘红边(REP)是绿色植物叶子光谱曲线在680nm～740nm之间变化率最快的点,也是一阶导数光谱在该区间内的拐点。本文总结了红边参数的种类,红边在植物种类的识别、植物时相的识别、植物生物参数估测和植物生长状况监测等方面的应用,并介绍了红边参数其适用范围和使用方法等,阐述了红边在植被研究中的重要性,分析了植被红边技术的发展方向和应用前景;同时总结了线性内插模型、反高斯模型、拉格朗日模型、多项式模型和有理函数新模型等五种红边定量分析方法及应用,以及它们的适用范围等,并介绍了G.V.G.BARANOS-KI and J.G.ROKNE采用有理函数新模型分析过程以确定红边位置的"新"方法。
