[PDF] Top 20 Calculation of Partial Derivatives of Two Variables Functions

... the functions satisfy the following three conditions： (i) there exists a point such that is convergent, (ii) all functions are differentiable on open interval , (iii) is uniformly ... See full document

... the partial differential problem of the two types of two variables functions discussed in this paper, some examples are proposed and we use Theorems 1 and 2 to obtain the infinite ... See full document

... the partial derivatives of multivariable func- tions is an important ...the partial derivatives of multivaria- ble ...numerical calculation of the partial derivatives has ... See full document

... the partial derivatives of multivariable functions is ...the partial differential problem of two types of multivariable ...order partial derivatives of these two ... See full document

... the partial derivatives of multivariable functions is an important ...the partial derivatives of multivariable ...numerical calculation of the partial derivatives ... See full document

... numerical calculation of the partial derivatives of multivariable functions are important in calculus and engineering ...the partial derivatives of two-variables ... See full document

... order partial derivatives of these two types of functions by using differentiation term by term theorem ; these are the major results of this study ...order partial derivative values. ... See full document

... independent variables and the use made by Newton of his no- tions and procedures is extremely clear, concise and ...the calculation of a fluxion involving a square root, with the difficulties which can ... See full document

... involving functions of n independent variables, their partial derivatives, integrals play a fundamental role in establishing the existence and uniqueness of initial and boundary value problems ... See full document

... developed two dimensional integral inequalities whose error bounds were expressed in term of Lebesgue norms of the integrand partial ...first partial derivatives exist and satisfy certain ... See full document

... discontinuous functions with two independent variables involving two nonlinear ...a partial differential equation with impulsive terms are also given, which cannot be estimated by Gallo ... See full document

... Analogous definitions can be made for functions of three or more variables and for third or higher order partial derivatives..[r] ... See full document

... special functions and ...of two multivariable Gimel-functions defined by Ayant [2], the expansion of special functions of several variables with general ...several variables is ... See full document

... fractional derivatives the reader should read ...fractional derivatives appear in the literature : ordi- nary [12] and partial differential equations [6, 8, 27], integral equations [7, 8, 11], ... See full document

... of functions with two variables defined by M´ oricz by means of modulus of continuity, and give the necessary and sufficient conditions for double sine, sine-cosine, cosine- sine and double cosine ... See full document

... Appell polynomials, Bernoulli polynomials, Euler polynomials, generalized Taylor’s formula, Taylor-like expansion, double integral, remainder.. The second author was supported in part by[r] ... See full document

... as variables in the generalized multivariable Gimel-function, we get a several formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in ... See full document

... for functions of bounded variation are studied by many ...for functions of bounded variation, please refer to ([1],[2] [4]-[6], ...inequalities functions of two variables with bounded ... See full document

... this being done for each fixed n = 1, 2 Using the C­norm, wc first establish an estimation formula of the approxima­ tion degree in function of n and afterwards prove a n asymptolic rela[r] ... See full document

... In this article, we prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical A -summability. We also study the rate of statistical A -summability of ... See full document