**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**2359

# Search results for: smooth and nonsmooth functions

##### 2359 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

##### 2358 Directional Implicit Functions in Nonsmooth Analysis

**Authors:**
Murzabekova Gulden

**Abstract:**

**Keywords:**
implicit function,
exhauster,
nonsmooth systems

##### 2357 Second Order Optimality Conditions in Nonsmooth Analysis on Riemannian Manifolds

**Authors:**
Seyedehsomayeh Hosseini

**Abstract:**

**Keywords:**
Riemannian manifolds,
nonsmooth optimization,
lower semicontinuous functions,
subdifferential

##### 2356 Fuzzy Control and Pertinence Functions

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

**Abstract:**

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

##### 2355 Low Complexity Deblocking Algorithm

**Authors:**
Jagroop Singh Sidhu,
Buta Singh

**Abstract:**

**Keywords:**
blocking artifacts,
computational complexity,
non-smooth,
intermediate,
smooth

##### 2354 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

##### 2353 A Discrete Logit Survival Model with a Smooth Baseline Hazard for Age at First Alcohol Intake among Students at Tertiary Institutions in Thohoyandou, South Africa

**Authors:**
A. Bere,
H. G. Sithuba,
K. Kyei,
C. Sigauke

**Abstract:**

**Keywords:**
cross-validation,
discrete hazard model,
LASSO,
smooth baseline hazard

##### 2352 Determination of Agricultural Characteristics of Smooth Bromegrass (Bromus inermis Leyss) Lines under Konya Regional Conditions

**Authors:**
Abdullah Özköse,
Ahmet Tamkoç

**Abstract:**

^{–1}to 354.7 kg da

^{–1}and hay yield from 100.4 kg da

^{–1}to 190.1 kg da

^{–1}. The study concluded that the smooth bromegrass lines differ in terms of yield and yield components. Therefore, it is very crucial to select suitable varieties of smooth bromegrass to obtain optimum yield.

**Keywords:**
semiarid region,
smooth bromegrass,
yield,
yield components

##### 2351 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

##### 2350 Comparison of Receiver Operating Characteristic Curve Smoothing Methods

**Authors:**
D. Sigirli

**Abstract:**

**Keywords:**
empirical estimator,
kernel function,
smoothing,
receiver operating characteristic curve

##### 2349 Monte Carlo Pathwise Sensitivities for Barrier Options with Application to Coco-Bond Calibration

**Authors:**
Thomas Gerstner,
Bastian von Harrach,
Daniel Roth

**Abstract:**

**Keywords:**
Monte Carlo,
discretely monitored barrier options,
pathwise sensitivities,
Coco-Bond

##### 2348 Some Inequalities Related with Starlike Log-Harmonic Mappings

**Authors:**
Melike Aydoğan,
Dürdane Öztürk

**Abstract:**

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

##### 2347 RAFU Functions in Robotics and Automation

**Authors:**
Alicia C. Sanchez

**Abstract:**

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

##### 2346 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

##### 2345 Investigation of Heat Transfer by Natural Convection in an Open Channel

**Authors:**
Mahmoud S. Ahmed,
Hany A. Mohamed,
Mohamed A. Omara,
Mohamed F. Abdeen

**Abstract:**

**Keywords:**
natural heat transfer convection,
constant heat flux,
open channels,
heat transfer

##### 2344 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

##### 2343 Solving Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems using Smoothing Functions

**Authors:**
El Hassene Osmani,
Mounir Haddou,
Naceurdine Bensalem

**Abstract:**

**Keywords:**
complementarity problem,
IPOPT,
Lagrange multipliers,
mathematical programming,
optimal control,
smoothing methods,
variationally inequalities

##### 2342 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

##### 2341 Effects of Roughness on Forward Facing Step in an Open Channel

**Authors:**
S. M. Rifat,
André L. Marchildon,
Mark F. Tachie

**Abstract:**

**Keywords:**
forward facing step,
open channel,
separated and reattached turbulent flows,
wall roughness

##### 2340 Effects of Upstream Wall Roughness on Separated Turbulent Flow over a Forward Facing Step in an Open Channel

**Authors:**
S. M. Rifat,
André L. Marchildon,
Mark F. Tachie

**Abstract:**

**Keywords:**
forward facing step,
open channel,
separated and reattached turbulent flows,
wall roughness

##### 2339 Unconventional Calculus Spreadsheet Functions

**Authors:**
Chahid K. Ghaddar

**Abstract:**

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

##### 2338 Investigating Convective Boiling Heat Transfer Characteristics of R-1234ze and R-134a Refrigerants in a Microfin and Smooth Tube

**Authors:**
Kaggwa Abdul,
Chi-Chuan Wang

**Abstract:**

**Keywords:**
R-1234ze and R-134a,
horizontal flow boiling,
pressure drop,
heat transfer coefficients,
micro-fin and smooth tubes

##### 2337 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

##### 2336 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

##### 2335 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

##### 2334 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

##### 2333 An Interpolation Tool for Data Transfer in Two-Dimensional Ice Accretion Problems

**Authors:**
Marta Cordero-Gracia,
Mariola Gomez,
Olivier Blesbois,
Marina Carrion

**Abstract:**

**Keywords:**
ice accretion,
interpolation,
mesh deformation,
radial basis functions

##### 2332 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

##### 2331 Variation of Streamwise and Vertical Turbulence Intensity in a Smooth and Rough Bed Open Channel Flow

**Authors:**
M. Abdullah Al Faruque,
Ram Balachandar

**Abstract:**

**Keywords:**
open channel flow,
smooth and rough bed,
Reynolds number,
turbulence

##### 2330 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