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Applications of infinite matrices and λ-convergence for fuzzy sequence spaces
Kuldip Raj,Ayhan Esi,Sonali Sharma 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.3
In the present paper we study some applications of infinite matrices and $\lambda$-convergence of order $\alpha$ to introduce some Ideal convergent sequence spaces of fuzzy numbers by means of Orlicz function. We make an effort to study some algebraic and topological properties of these spaces. We also study some interesting inclusions relation between these spaces. Finally, we have prove that these spaces are normal as well as monotone and convergence free. We shall prove these results with the help of examples.
SOME DIFFERENCE SEQUENCE SPACES OF INFINITE MATRIX AND ORLICZ FUNCTION
Kuldip Raj,CHARU SHARMA 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.3
In this paper we introduce some generalized difference sequence spaces of ideal convergence, infinite matrix and sequence of Orlicz functions of order α over n-normed spaces. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.
Linear isomorphic Euler fractional difference sequence spaces and their Toeplitz duals
Kuldip Raj,Mohammad Aiyub,Kavita Saini 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3
In the present paper we introduce and study Euler sequence spaces of fractional difference and backward difference operators. We make an effort to prove that these spaces are BK-spaces and linearly isomorphic. Further, Schauder basis for Euler fractional difference sequence spaces e_{0,p}^{\varsigma}(\Delta^{(\tilde{\beta})},\nabla^{m}) and e_{c,p}^{\varsigma}(\Delta^{(\tilde{\beta})},\nabla^{m}) are also elaborate. In addition to this, we determine the \alpha-, \beta- and \gamma- duals of these spaces.
Orlicz sequence spaces of four dimensional regular matrix and their closed ideal
Kuldip Raj,Suruchi Pandoh,Anu Choudhary 호남수학회 2019 호남수학학술지 Vol.41 No.4
In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices $A=(a_{rtkl})$. We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space $l_{\infty}^{2}.$
Raj, Kuldip,Sharma, Sunil K.,Gupta, Amit Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.1
In the present paper we introduce difference paranormed sequence spaces $c_0(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$, $c(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ and $l_{\infty}(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ defined by a Musielak-Orlicz function $\mathcal{M}$ = $(M_k)$ over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces.
ORLICZ SEQUENCE SPACES OF FOUR DIMENSIONAL REGULAR MATRIX AND THEIR CLOSED IDEAL
Raj, Kuldip,Pandoh, Suruchi,Choudhary, Anu The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.4
In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices A = (a<sub>rtkl</sub>). We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space 𝑙<sup>2</sup><sub>∞</sub>.
Pooja Gupta,Kuldip Pahwa 보안공학연구지원센터(IJSIP) 2014 International Journal of Signal Processing, Image Vol.7 No.6
Today is an era of digital imaging. This can be viewed either in the field of photography or in the field of medical imaging. Digital imaging has improved the performance of picture quality. Detailed information can be recovered very quickly from any part of an image and this feature has become very useful in every field of imaging. This improvement in the field of medical imaging has given life to so many patients as diagnosis of disease has become very fast and easy. But many a times the image quality is not upto the mark, due to this reason; the doctors are not able to diagnose the disease. So this paper proposes a noval approach for improvement in quality of medical images using pixel reconstruction followed by Gabor filter enhancement technique. The experimental results are verified as improvement in PSNR of hexagonal pixel images as compared with square pixel images. The results show a large improvement in quality of digital imaging.
Machinability Analysis of Heat Treated Ti64, Ti54M and Ti10.2.3 Titanium Alloys
Navneet Khanna,Kuldip Singh Sangwan 한국정밀공학회 2013 International Journal of Precision Engineering and Vol. No.
In this research, machinability of the heat treated α/β (Ti64 and Ti54M) and metastable β (Ti10.2.3) titanium alloys is investigated experimentally. Forces and temperature i.e. life of the cutting tool mainly influenced by variation in cutting speed and feed rate,therefore, the depth of cut was maintained constant while cutting speed and feed were varied. Heat treatment was found to have influence on the machinability of the analyzed alloys. The annealed and solution treated plus over aged samples of the Ti10.2.3 alloy,showed comparatively higher cutting tool temperature and higher cutting forces. This work confirmed the poorer machinability of the Ti10.2.3 alloy than the Ti64 and Ti54M alloys in different heat treatment conditions and this is due to the presence of higher content of β stabilizer elements (V and Fe). It is concluded that the proper heat treatment planning results in better machining performance of the titanium alloys.
Mukesh Kumar Sharma,Kuldip Bansal,Seema Bansal 한국유변학회 2012 Korea-Australia rheology journal Vol.24 No.3
The periodic nature of the cardiac cycle induces a pulsatile, unsteady flow within the circulatory system. The pulsatile model of blood flow provides data to analyse the physiological situation in close proximity. The distribution of fatty cholesterol and artery-clogging blood clots in the lumen of the coronary artery is assumed as a porous medium. A mathematical model for pulsatile flow through an stenosed artery filled with porous medium in the presence of transverse static magnetic field has been formulated under the con\-sideration of hematocrit dependent viscosity of blood that governed by Einstein equation. The velocity pro\-file, volume flux, pressure gradient and wall shear stress are obtained and the effects of magnetic number, Darcy number, Womersely number are computed and represented through graphs.
Sharma, Mukesh Kumar,Bansal, Kuldip,Bansal, Seema 한국유변학회 2012 Korea-Australia rheology journal Vol.24 No.3
The periodic nature of the cardiac cycle induces a pulsatile, unsteady flow within the circulatory system. The pulsatile model of blood flow provides data to analyse the physiological situation in close proximity. The distribution of fatty cholesterol and artery-clogging blood clots in the lumen of the coronary artery is assumed as a porous medium. A mathematical model for pulsatile flow through an stenosed artery filled with porous medium in the presence of transverse static magnetic field has been formulated under the consideration of hematocrit dependent viscosity of blood that governed by Einstein equation. The velocity profile, volume flux, pressure gradient and wall shear stress are obtained and the effects of magnetic number, Darcy number, Womersely number are computed and represented through graphs.