The functions that could have provided function as a derivative are called antiderivatives (or primitive). The formula that gives all these antiderivatives is called theindefinite integralof the function. And such a process of finding antiderivatives is called integration. ...
(1970) Interpolated quadrature formulae containing derivatives for some Cauchy type integrals and for their principal values. Zh. Vychisl. Mat. i Mat. Fiz. 10: pp. 438-444Pykhteev, G. N., Shokamolov, I.: Interpolated quadrature formulae containing derivatives for some Cauchy type integrals ...
1.Wenot only obtain the complete asymptotic expansion for the operators and their derivatives but also discuss the shape preserving properties of the operator.我们基于加权的BBH-D算子与加Jacobi权的Bernstein-Durrmeyer算子之间的关系,得到了加权的BBH-D算子及其微分的完全渐进展开公式,如下:定理1若[0,+∞)...
How to write LateX Derivatives ? DefinitionLatex codeResult First order derivative f’(x) f′(x) Second order derivative f’‘(x) f″(x) K-th order derivative f^{(k)}(x) f(k)(x) Partial firt order derivative \frac{\partial f}{\partial x} ∂f∂x Partial Second order de...
Fractional calculus deals with the generalization of derivatives and integrals to non-integer orders, and it has emerged as a powerful mathematical tool for modeling and analyzing complex phenomena in physics, engineering, and other fields. The fractional H–H inequality explores the behavior of ...
Proceedings of the Fifth symposium on fractional differentiation and its applicationsTakeuchi, Y. and Suda, R.: “New numerical computation formula and error analysis of some existing formulae in fractional derivatives and integrals,” The 5th IFAC Symposium on Fraction...