High Order Riesz Transforms and Mean Value Formula for Generalized Translate Operator

In this paper, the mean value formula depends on the Bessel generalized shift operator corresponding to the solutions of the boundary value problem related to the Bessel operator are studied. In addition to, Riesz Bessel transforms related to the Bessel operators are studied. Since Bessel generalized shift operator is translation operator corresponding to the Bessel operator, we construct a family of RBxj by using Bessel generalized shift operator. Finally, we analysis weighted inequalities involving Riesz Bessel transforms

Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDE

In this paper we establish a mean value property for the functions which is satisfied to Laplace-Bessel equation. Our results involve the generalized divergence theorem and the second Green’s identities relating the bulk with the boundary of a region on which differential Bessel operators ac

Theory of generalized Bessel potential space and functional completion

The articles objective is to present norms based on weighted Dirichlet integrals in the space of generalized Bessel potential

On the boundedness of the Bn-maximal operator on Bn-Orlicz spaces

In this paper we prove the weak and strong type boundedness of the Bn-maximal operator M in Bn-Orlicz spaces L?,? (R+ n). © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved

Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques

This article deals with a quasilinear elliptic equation with variable exponent under a homogenous Dirichlet boundary-value condition, where nonlinearity also depends on the gradient of the solution. By using an iterative method based on Mountain Pass techniques, the existence of a positive solution is obtained. © 2016, Copyright © Taylor & Francis Group, LLC

Patient involvement in disease management: A holistic approach in clinical pharmacy

Clinical pharmacy is one of the specialized areas of pharmacy profession which demands scientific and comprehensive therapeutic knowledge, extensive clinical experience and skills, and collaboration with other healthcare professionals as well as the patients in disease management. The concepts of patient involvement and patient empowerment, patient self-management and patient engagement in health care settings are explored in many studies. The PubMed search undertaken in March 2019 by using the keywords of patient involvement, disease management, and clinical pharmacy revealed 581 publications, of those 268 were published in the last five years and 95 were review articles. Another search made by using the words of patient empowerment and clinical pharmacy, and the results were even increased to 735 articles. A patient-centered approach is the cornerstone of the provision of clinical pharmacy services in chronic disease management. The patients ability in problem-solving can be enhanced through teaching general skills and providing access to appropriate counseling or supervision. Therefore, patients become responsible for many issues, such as describing their symptoms and expressing their concerns properly, using specific self-management practices, and applying preventative approaches in their disease management. During the disease management process, roles and responsibilities of healthcare professionals and patients should be specified, and patients become less severely incapacitated by disease consequences, well-informed about their condition and medications, and have higher self-esteem to improve their condition or prevent their condition becoming worse. [Med-Science 2020; 9(1.000): 205-6

A novel integrated SMED approach for reducing setup time

One of the shortcomings of the conventional single-minute exchange of die (SMED) method is that the improvements are made only upon the machine to reduce setup times. Although most of the setup activities involve operators, they are not considered adequately in this method. In workplaces with non-ergonomic setup systems, operators are exposed to different ergonomic risks, and thus, muscle fatigue is a problem for them. During the setup activities, muscle fatigue increases the setup times and risks of work accidents. In this study, the muscle fatigue assessment (MFA) method, also known as the Sue Rodgers method, was integrated into the conventional SMED method in order to evaluate the ergonomic risks in setup activities. Since the tools of the conventional SMED method are insufficient to shorten setup times, the grey-based Taguchi method, which consists of multiresponses such as setup time and fatigue risk, has been used for a setup activity. This method allows the determination of the process factor levels to minimize these responses. A form has also been developed for the integrated SMED method, which is called the Setup Observation and Analysis Form. The developed integrated SMED method based on the Sue Rodgers muscle fatigue assessment method and grey-based Taguchi method has been applied to a CNNx machine in a factory producing aluminum profiles. The overall setup time has been reduced to 73.5 min from 196 min, which indicates a total of 122.5 min and 62.5% improvement. With the conventional SMED method, the setup time is reduced to 101 min, whereas with the new approach, the setup time is reduced further to 21.5 min

Investigation of the effect of boron carbide-doped diamond sockets on cutting performance in granite cutting

WOS: 000459981500002In the study, boron carbide was added to the matrix in different ratios in order to increase the wear resistance of the socket matrix and to strengthen the bond at the matrix interface with the diamond. Under the same sintering conditions, eight different tool sockets were produced. One of them is boron carbide non-doped (0% B4C) reference socket. The others are boron carbide-doped sockets in different ratios (1-2-3-4-5-6-7% B4C). The produced sockets were welded around a 350-mm saw to produce circular saws. In the study, firstly, the metallographic properties of the boron carbide non-doped (0% B4C) and boron carbide-doped (1-2-3-4-5-6-7% B4C) sockets such as theoretical densities, unit volume weights, porosity, Knoop hardness (HK), and weight wear loss were determined. Cutting experiments were then carried out (under constant cutting conditions) with eight different circular saws on a single hard stone species with a homogeneous structure. At the end of cutting experiments, the power consumption, specific cutting energy, specific abrasion, and noise levels of each saw were determined. Cutting performance of boron carbide non-doped and doped circular saws has been investigated taking into account the metallographic properties of the sockets. At the end of the study, the lowest power consumption and specific cutting energy consumption due to high porosity and low hardness were obtained at 7% B4C-doped sockets. It was determined that the lowest specific abrasion value was found in sockets with 4% B4C doped due to the low porosity and high hardness value, and the lowest noise level was found in 1% B4C-doped sockets.Suleyman Demirel University Scientific Research Office [3100-D2-12]The authors would like to thank Suleyman Demirel University Scientific Research Office for their support with the project number 3100-D2-12. The authors are deeply grateful for this financial support. In addition, the authors would like to thank Nergis Nek Diamond Trading Company for their support in the production of boron carbide-doped circular saws

SMED methodology based on fuzzy Taguchi method

Originality/value In this limited literature research, the authors have not found a study using the fuzzy Taguchi method in the SMED method