**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1973

# Search results for: trigonometric functions

##### 1973 Circular Approximation by Trigonometric Bézier Curves

**Authors:**
Maria Hussin,
Malik Zawwar Hussain,
Mubashrah Saddiqa

**Abstract:**

**Keywords:**
control points,
rational trigonometric Bézier curves,
radius error,
shape measure,
weight functions

##### 1972 Adaptive Motion Planning for 6-DOF Robots Based on Trigonometric Functions

**Authors:**
Jincan Li,
Mingyu Gao,
Zhiwei He,
Yuxiang Yang,
Zhongfei Yu,
Yuanyuan Liu

**Abstract:**

**Keywords:**
kinematic constraints,
motion planning,
trigonometric function,
6-DOF robots

##### 1971 Degree of Approximation of Functions Conjugate to Periodic Functions Belonging to Lipschitz Classes by Product Matrix Means

**Authors:**
Smita Sonker

**Abstract:**

**Keywords:**
signals,
trigonometric fourier approximation,
class W(L^r,
\xi(t),
conjugate fourier series

##### 1970 High Accuracy Analytic Approximation for Special Functions Applied to Bessel Functions J₀(x) and Its Zeros

**Authors:**
Fernando Maass,
Pablo Martin,
Jorge Olivares

**Abstract:**

**Keywords:**
analytic approximations,
asymptotic approximations,
Bessel functions,
quasirational approximations

##### 1969 Monotone Rational Trigonometric Interpolation

**Authors:**
Uzma Bashir,
Jamaludin Md. Ali

**Abstract:**

**Keywords:**
trigonometric splines,
monotone data,
shape preserving,
C1 monotone interpolant

##### 1968 Life Prediction Method of Lithium-Ion Battery Based on Grey Support Vector Machines

**Authors:**
Xiaogang Li,
Jieqiong Miao

**Abstract:**

**Keywords:**
Grey prediction model,
trigonometric functions,
support vector machines,
genetic algorithms,
root mean square error

##### 1967 Analytical Modeling of Globular Protein-Ferritin in α-Helical Conformation: A White Noise Functional Approach

**Authors:**
Vernie C. Convicto,
Henry P. Aringa,
Wilson I. Barredo

**Abstract:**

**Keywords:**
globular protein,
modulating function,
white noise,
winding probability

##### 1966 Approximation of Periodic Functions Belonging to Lipschitz Classes by Product Matrix Means of Fourier Series

**Authors:**
Smita Sonker,
Uaday Singh

**Abstract:**

**Keywords:**
Lipschitz classes,
product matrix operator,
signals,
trigonometric Fourier approximation

##### 1965 Cubic Trigonometric B-Spline Approach to Numerical Solution of Wave Equation

**Authors:**
Shazalina Mat Zin,
Ahmad Abd. Majid,
Ahmad Izani Md. Ismail,
Muhammad Abbas

**Abstract:**

**Keywords:**
collocation method,
cubic trigonometric B-spline,
finite difference,
wave equation

##### 1964 L1-Convergence of Modified Trigonometric Sums

**Authors:**
Sandeep Kaur Chouhan,
Jatinderdeep Kaur,
S. S. Bhatia

**Abstract:**

**Keywords:**
conjugate Dirichlet kernel,
Dirichlet kernel,
L1-convergence,
modified sums

##### 1963 A Superposition Method in Analyses of Clamped Thick Plates

**Authors:**
Alexander Matrosov,
Guriy Shirunov

**Abstract:**

**Keywords:**
general solution,
method of initial functions,
superposition method,
thick isotropic plates

##### 1962 High Accuracy Analytic Approximations for Modified Bessel Functions I₀(x)

**Authors:**
Pablo Martin,
Jorge Olivares,
Fernando Maass

**Abstract:**

**Keywords:**
analytic approximations,
mathematical-physics applications,
quasi-rational functions,
special functions

##### 1961 The Behavior of The Zeros of Bargmann Analytic Functions for Multiple-Mode Systems

**Authors:**
Muna Tabuni

**Abstract:**

**Keywords:**
Bargmann functions,
two-mode,
zeros,
harmonic oscillator

##### 1960 Some Inequalities Related with Starlike Log-Harmonic Mappings

**Authors:**
Melike Aydoğan,
Dürdane Öztürk

**Abstract:**

**Keywords:**
starlike log-harmonic functions,
univalent functions,
distortion theorem

##### 1959 RAFU Functions in Robotics and Automation

**Authors:**
Alicia C. Sanchez

**Abstract:**

**Keywords:**
automatic navigation control,
lateral control,
lane-keeping control,
RAFU approximation

##### 1958 Subclasses of Bi-Univalent Functions Associated with Hohlov Operator

**Authors:**
Rashidah Omar,
Suzeini Abdul Halim,
Aini Janteng

**Abstract:**

*f*ϵ

*A*is said to be bi-univalent in the open unit disk

*D*if both

*f*and

*f*are univalent in

^{-1}*D*. The symbol

*A*denotes the class of all analytic functions

*f*in

*D*and it is normalized by the conditions

*f*(0) =

*f’*(0) – 1=0. The class of bi-univalent is denoted by The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function

*f*is subordinate to an analytic function

*g*if there is an analytic function

*w*defined on

*D*with

*w*(0) = 0 and |

*w*(z)| < 1 satisfying

*f*(

*z*) =

*g*[

*w*(

*z*)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors.

**Keywords:**
analytic functions,
bi-univalent functions,
Hohlov operator,
subordination

##### 1957 Geometric Properties of Some q-Bessel Functions

**Authors:**
İbrahim Aktaş,
Árpád Baricz

**Abstract:**

**Keywords:**
bessel function,
lommel function,
radius of starlikeness and convexity,
Struve function

##### 1956 Symbolic Computation and Abundant Travelling Wave Solutions to Modified Burgers' Equation

**Authors:**
Muhammad Younis

**Abstract:**

**Keywords:**
traveling wave solutions,
NLPDE,
computation,
integrability

##### 1955 Approximation of Analytic Functions of Several Variables by Linear K-Positive Operators in the Closed Domain

**Authors:**
Tulin Coskun

**Abstract:**

**Keywords:**
analytic functions,
approximation of analytic functions,
Linear k-positive operators,
Korovkin type theorems

##### 1954 Unconventional Calculus Spreadsheet Functions

**Authors:**
Chahid K. Ghaddar

**Abstract:**

**Keywords:**
calculus,
differential algebraic equations,
solvers,
spreadsheet

##### 1953 Fuzzy Control and Pertinence Functions

**Authors:**
Luiz F. J. Maia

**Abstract:**

**Keywords:**
control surface,
fuzzy control,
Inverted pendulum,
pertinence functions

##### 1952 A New Approach for Generalized First Derivative of Nonsmooth Functions Using Optimization

**Authors:**
Mohammad Mehdi Mazarei,
Ali Asghar Behroozpoor

**Abstract:**

**Keywords:**
general derivative,
linear programming,
optimization problem,
smooth and nonsmooth functions

##### 1951 Numerical Solution for Integro-Differential Equations by Using Quartic B-Spline Wavelet and Operational Matrices

**Authors:**
Khosrow Maleknejad,
Yaser Rostami

**Abstract:**

**Keywords:**
ıntegro-differential equations,
quartic B-spline wavelet,
operational matrices,
dual functions

##### 1950 A Qualitative Case Study Exploring Zambian Mathematics Teachers' Content Knowledge of Functions

**Authors:**
Priestly Malambo,
Sonja Van Putten,
Hanlie Botha,
Gerrit Stols

**Abstract:**

**Keywords:**
secondary school,
mathematical reasoning,
student-teachers,
functions

##### 1949 Bernstein Type Polynomials for Solving Differential Equations and Their Applications

**Authors:**
Yilmaz Simsek

**Abstract:**

**Keywords:**
generating functions,
Bernstein basis functions,
Bernstein polynomials,
Bezier curves,
differential equations

##### 1948 Hypergeometric Solutions to Linear Nonhomogeneous Fractional Equations with Spherical Bessel Functions of the First Kind

**Authors:**
Pablo Martin,
Jorge Olivares,
Fernando Maass

**Abstract:**

**Keywords:**
caputo fractional derivatives,
hypergeometric functions,
linear differential equations,
spherical Bessel functions

##### 1947 Exact Formulas of the End-To-End Green’s Functions in Non-hermitian Systems

**Authors:**
Haoshu Li,
Shaolong Wan

**Abstract:**

**Keywords:**
non-Hermitian,
Green's function,
non-Hermitian skin effect,
signal amplification

##### 1946 Certain Results of a New Class of Meromorphic Multivalent Functions Involving Ruscheweyh Derivative

**Authors:**
Kassim A. Jassim

**Abstract:**

**Keywords:**
meromorphic multivalent function,
Ruscheweyh derivative,
hadamard product

##### 1945 Nonhomogeneous Linear Fractional Differential Equations Will Bessel Functions of the First Kind Giving Hypergeometric Functions Solutions

**Authors:**
Fernando Maass,
Pablo Martin,
Jorge Olivares

**Abstract:**

**Keywords:**
Caputo,
fractional calculation,
hypergeometric,
linear differential equations

##### 1944 Some Integral Inequalities of Hermite-Hadamard Type on Time Scale and Their Applications

**Authors:**
Artion Kashuri,
Rozana Liko

**Abstract:**

**Keywords:**
convex functions,
Hermite-Hadamard inequality,
special means,
time scale