Results 1 to 10 of about 288,000 (160)
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy [PDF]
Entropy, 2022 This paper studies the properties of the derivatives of differential entropy H(Xt) in Costa’s entropy power inequality. For real-valued random variables, Cheng and Geng conjectured that for m≥1, (−1)m+1(dm/dtm)H(Xt)≥0, while McKean conjectured a stronger
Laigang Guo +2 more
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IPDT Model-Based Ziegler–Nichols Tuning Generalized to Controllers with Higher-Order Derivatives [PDF]
Sensors, 2023 The paper extends the earlier work entitled “Making the PI and PID Controller Tuning Inspired by Ziegler and Nichols Precise and Reliable”, to higher-order controllers and a broader range of experiments.
Pavol Bistak +3 more
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An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order [PDF]
The Scientific World Journal, 2013 We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given.
Ricardo Almeida, Delfim F. M. Torres
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Subordination for Higher-Order Derivatives of Multivalent Functions [PDF]
Journal of Inequalities and Applications, 2009 Differential subordination methods are used to obtain several interesting subordination results and best dominants for higher-order derivatives of p-valent functions. These results are next applied to yield various known results as special cases.
V. Ravichandran +2 more
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New formulae for higher order derivatives and applications
Journal of Computational and Applied Mathematics, 2009 New formulae for the analytical development of higher order derivatives are presented. The formulae are analytic and exact and represent the \(k\)-th derivative as a discrete sum of \(k+1\) terms. The coefficients occurring in the sums can be computed by recursion.
Hassan Safouhi
exaly +2 more sources
Applications of Higher-Order Derivatives to the Subclasses of Meromorphic Starlike Functions [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, we introduce and study some new classes of multivalent (p -valent) meromorphically starlike functions involving Higher-Order derivatives. For these multivalent classes of functions, we derive several interesting properties including sharp ...
Bilal Khan +5 more
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Superpotentials and higher order derivations [PDF]
Journal of Pure and Applied Algebra, 2010 23 ...
Bocklandt, Raf +2 more
openaire +6 more sources
Ostrowski Type Inequalities for Higher-Order Derivatives
Journal of Inequalities and Applications, 2009 This paper has shown some new Ostrowski type inequalities involving higher-order derivatives. The results generalized the Ostrowski type inequalities. Applications of the inequalities are also given.
Zhao Xilai, Wang Mingjin
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Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives
Journal of Inequalities and Applications, 2021 In this paper, we establish some necessary and sufficient conditions for the validity of a generalized dynamic Hardy-type inequality with higher-order derivatives with two different weighted functions on time scales.
S. H. Saker, R. R. Mahmoud, K. R. Abdo
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Fractal and Fractional, 2022 In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic ...
Kadhavoor R. Karthikeyan +4 more
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