higher-order derivatives
Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems
... v t x in the Lyapunov stability theory with some inequalities for the higher order derivatives v ( ) i ( , ) t x of the LF candidate. The inequalities are presented and are solved using a new ...
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Generalizations and applications of Young’s integral inequality by higher order derivatives
... of higher order derivatives and their norms, demonstrate that these newly-established integral inequalities generalize Young’s integral inequality ...
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Higher Order Derivatives Sampling of Random Signals Related to the Fractional Fourier Transform
... to higher order uniform or periodic nonuniform derivative sampling theorems for random signals in the fractional Fourier domain to reduce the sampling ...the higher order derivatives of ...
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Optimality and Duality for Nondifferentiable Multiobjective Variational Problems with Higher Order Derivatives
... In this paper, we study optimality and duality for a class of nondifferentiable vari- atonal problem containing higher order derivatives. We formulate Wolfe and Mond- Weir type dual problems for this ...
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MATHEMATICAL COMPUTATION OF VARIATIONAL PROBLEMS INVOLVING HIGHER ORDER DERIVATIVES
... In this paper Fritz John and Karush-Kuhn - Tucker type optimality conditions for a constrained variational problem involving higher order derivatives are obtained. As an application o f these Karush- ...
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Higher order derivatives of approximation polynomials on \(\mathbb{R}\)
... Leviatan [] has investigated the behavior of the higher order derivatives of approximation polynomials for the differentiable function f on [–, ], as follows.. In this paper, we will g[r] ...
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Index Terms --nonlinear systems, stability analysis, Lyapunov functions, higher order derivatives, homogeneous systems.
... of higher order derivatives of the Lyapunov function with non-negative coefficients is ...the derivatives are decrescent then the zero equilibrium state of the nonlinear system is ...
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Multiobjective Duality in Variational Problems with Higher Order Derivatives
... A multiobjective variational problem involving higher order derivatives is considered and optimality condi- tions for this problem are derived. A Mond-Weir type dual to this problem is constructed ...
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Ostrowski Type Inequalities for Higher Order Derivatives
... Pachpatte, “On an inequality of Ostrowski type in three independent variables,” Journal of Mathematical Analysis and Applications, vol.. Pachpatte, “On a new Ostrowski type inequality in[r] ...
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Sandwich Theorems for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Convolution Structure with Linear Operator
... first order differential subordination and superordination results involving Hadamard product for multivalent analytic functions with linear operator defined in the open unit ...
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Subordination and inclusion theorems for higher order derivatives of a generalized fractional differintegral operator
... the order f (z) = O(|z| ε ), z → 0 when ε > max{0, μ − η} − 1 and the multiplicity of ( z − ζ) −λ is removed by requiring log ( z − ζ) to be real when z − ζ > ...
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Subordination for Higher Order Derivatives of Multivalent Functions
... Cho, “Some multivalently starlike functions with negative coefficients and their subclasses defined by using a differential operator,” Kyungpook Mathematical Journal, vol.. Nunokawa, “On th[r] ...
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M53 Lec2.3 Higher Order Derivatives Implicit Differentiation Linear Approximation.pdf
... Institute of Mathematics (UP Diliman) Higher Order, Implicit Differentiation, Differentials Mathematics 53 3 / 35... Local Linear Approximation and Differentials.[r] ...
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Study of a new class for higher-order derivatives of harmonic multivalent functions
... 2 Department of Mathematics, College of Computer Science and Information Technology, University of Al-Qadisiyah, Iraq.. Copyright © 2019 the authors.[r] ...
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M53 Lec2.3A Higher Order Derivatives Implicit Differentiation.pdf
... Institute of Mathematics (UP Diliman) Higher Order, Implicit Differentiation Mathematics 53 1 / 19.. For today[r] ...
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A note on matrix differentiation
... of derivatives with respect to a scalar ...of derivatives is very inconvenient in some applications, e.g. if higher order derivatives are considered, and or even are not applicable if ...
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Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
... for higher order derivatives of the generating functions of the Hermite polynomials and their squares, which can be viewed as ordinary differen- tial equations or derivative polynomials, find ...
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A note on differentiating matrices
... that derivatives of matrix valued functions ob- tained by applying elementary operations like summation, matrix multi- plication, generalized transposition and generalized Kronecker tensor prod- uct can be ...
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A Study of Weighted Polynomial Approximations with Several Variables (I)
... derivatives. In Section 5, we estimate the degree of approximations. In Section 6, we consider the approximation for the functions with bounded variation. In Section 7, we consider the approximation of the ...
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Derivatives of Orthonormal Polynomials and Coefficients of Hermite Fejér Interpolation Polynomials with Exponential Type Weights
... So, we obtain a certain differential equation of higher order with respect to pn wρ2 ; x and we estimate the higher-order derivatives of pn wρ2 ; x and the coefficients of the higher-order [r] ...
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