P. N. Agrawal
Indian Institute of Technology Roorkee
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Featured researches published by P. N. Agrawal.
Applied Mathematics and Computation | 2014
P. N. Agrawal; Vijay Gupta; A. Sathish Kumar; Arun Kajla
Abstract In the present paper, we introduce generalized Baskakov-Szasz type operators and study some approximation properties of these operators e.g., rate of convergence in ordinary and simultaneous approximation, statistical convergence and the estimate of the rate of convergence for absolutely continuous functions having a derivative coinciding a.e. with a function of bounded variation.
Applied Mathematics and Computation | 2015
Manjari Sidharth; Nurhayat Ispir; P. N. Agrawal
Agrawal et?al. (2015) constructed a bivariate generalization of a new kind of Kantorovich-type q-Bernstein-Schurer operators and studied a Voronovskaja type theorem and the rate of convergence in terms of the Lipschitz class function and the complete modulus of continuity. The concern of this paper is to obtain the degree of approximation for these bivariate operators in terms of the partial moduli of continuity and the Peetres K-functional. Finally, we construct the GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein-Schurer-Kantorovich type and estimate the rate of convergence for these operators with the help of mixed modulus of smoothness.
Applied Mathematics and Computation | 2015
P. N. Agrawal; Nurhayat Ispir; Arun Kajla
In this article we introduce the Bezier variant of summation integral type operators having Polya and Bernstein basis functions. We give a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation.
Journal of the International Clinical Dental Research Organization | 2015
Tejaswini Patil; Pramod Waghmare; Amita Mali; P. N. Agrawal; Kaustubh P Patil
Introduction: Treatment of advanced furcation invasion has always been questionable. The present case report used a GIC as an occlusive barrier in the treatment of maxillary Class III furcation defects. This procedure helps in saving a tooth which otherwise would have been deemed for extraction. Method: In this case report, glass ionomer cement is used as an occlusive barrier in the treatment of maxillary Class III furcation defects. One year follow-up of clinical and radiographic photo series results showed a reduction of gingival inflammation, tooth mobility and gain in attachment level with the use of glass ionomer. Conclusion: As GIC has many advantages over other restorative materials like low cost, antibacterial property, ease in use, biocompatibility with periodontal tissues, it is a good option in management of class III furcation cases.
International journal of scientific research | 2012
Anjali Kaware; Jyoti Mankar; P. N. Agrawal
The present study was carried out with a view to find out the relationship between emotional maturity and fabric color preference of women. An exploratory research design and survey method was used in the study. Samples were randomly selected. The study consisted of women of the age group of 20-50. The Questionnaire was constructed for finding fabric color preference of the samples. These included several questions like EMS,which is a self-reporting five point scales. Emotional Maturity Scale byDr. Yashvir Singh & Dr. Mahesh Bhargava, was used for the study. Color wheel (Prang Color) was used as an aid with the questionnaire. The coefficient of correlation between the scores corresponding to the fabric colour preference and score obtained with respect to emotional maturity comes to be r-0.03093 which is not positively significant, hence, it may be concluded that there is no correlation between emotional maturity and fabric colours preference. However, considering the fabric colour preference of the respondents it is clear that certain independent factors are responsible for the colour preference of the respondents. Fabric Colour Preference and Emotional Maturity of Women
International journal of scientific research | 2012
Ankita Goyal; Manjunath Bc Manjunath Bc; Anup N Anup N; Vikas Jeph; Manohar Bhat; P. N. Agrawal
Objectives: To analyze in vitro pH, titratable acidity (TA) and total soluble solid content (TSSC) of mouthrins- es with different active ingredients and concentration available in India. Material and methods: 14 commercial brands of mouthrinses containing different active ingredients and concentration available in India were included for the in vitro study. The endogenous pH was evaluated by using pH meter, TA was evaluated by the addition of 0.05N NaOH increments to the mouthrinses, and TSSC readings by Gravimetric methods. Results: pH values ranged from 2.57 + 0.06 to 6.77 + 0.33.Th e TA values ranged from 0.1 + 0.00 to 16.67 + 0.12. Original Listerine & Eludril presented the lowest and the highest TSSC, respectively. Significant correlation (p< 0.05) was found between mouthrinses and endogenous pH, TA, TSSC. Conclusion: Some of the mouthrinses presented low pH (pH<5.5), high TA and high TSSC which may be potentially erosive to the dental tissues. The presence of potentially erosive ingredients in many thera- peutic products used for maintenance of good oral health is also a matter of concern. The control of dental biofilm (dental plaque) is the corner stone in prevention of various oral dis- eases and to achieve this, many mechanical and chemical meth- ods or a combination of both may be used. 6,7 Chemical meth- ods include the use of mouthrinses which contain anti plaque / antiseptic agents along with acids as one of their ingredients and hence indiscriminate use may increase the risk of erosion of the teeth. A pH of 5.5 or less is critical for the enamel dis- solution. 8 Acids or EDTA are added along with the therapeutic agents as low endogenous pH of the oral care products improve chemical stability of fluoride compounds by incorporation of fluoride ions into voids in hydroxyapatite crystals and their by stabilizing the crystal lattice. Even though, enamel surface be- comes stronger after incorporation of fluoride ions and has a protective effect against bacterial dissolution, the protective ef- fects are lost when the pH is too low which may result in dental erosion and further research is necessary to reveal benefits of fluoride in prevention of dental erosion.
International journal of scientific research | 2012
Amit Thareja; P. N. Agrawal; Ajay S; Rajashree J; Darshana Dalaya
Interdisciplinary dental rehabilitation should be contemplated as a long-term solution for esthetic and functional dental rehabilitation of patients. Various guidelines for performing periodontally compatible restorative dentistry have been reviewed here. Using these basic guidelines, restorative care can be used to directly aid periodontal treatment by restoring an esthetically pleasing, and stable dentition. This article addresses interactions between periodontal tissues and restorative procedures. Perio Restorative Interface: A Review
Demonstratio Mathematica | 1994
P. N. Agrawal; Vijay Gupta
Applied Mathematics and Computation | 2014
P. N. Agrawal; A. Sathish Kumar; T.K. Sinha
Rendiconti Del Circolo Matematico Di Palermo | 2016
P. N. Agrawal; Nurhayat Ispir; Arun Kajla