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Geometric properties of starlikeness involving hyperbolic cosine function
OM P. AHUJA,Asena Cetinkaya,Sushil Kumar 대한수학회 2024 대한수학회논문집 Vol.39 No.2
In this paper, we investigate some geometric properties of starlikeness connected with the hyperbolic cosine functions defined in the open unit disk. In particular, for the class of such starlike hyperbolic cosine functions, we determine the lower bounds of partial sums, Briot-Bouquet differential subordination associated with Bernardi integral operator, and bounds on some third Hankel determinants containing initial coefficients.
Statistical RBF Network with Applications to an Expert System for Characterizing Diabetes Mellitus
Om, Kyong-Sik,Kim, Hee-Chan,Min, Byoung-Goo,Shin, Chan-So,Lee, Hong-Kyu The Korean Institute of Electrical Engineers 1998 Journal of Electrical Engineering and Information Vol.3 No.3
The purposes of this study are to propose a network for the characterizing of the input data and to show how to design predictive neural net재가 expert system which doesn't need previous knowledge base. We derived this network from the radial basis function networks(RBFN), and named it as a statistical EBFN. The proposed network can replace the statistical methods for analyzing dynamic relations between target disease and other parameters in medical studies. We compared statistical RBFN with the probabilistic neural network(PNN) and fuzzy logic(FL). And we testified our method in the diabetes prediction and compared our method with the well-known multilayer perceptron(MLP) neural network one, and showed good performance of our network. At last, we developed the diabetes prediction expert system based on the proposed statistical RBFN without previous knowledge base. Not only the applicability of the characterizing of parameters related to diabetes and construction of the diabetes prediction expert system but also wide applicabilities has the proposed statistical RBFN to other similar problems.
Om Prakash Tiwari,Yashwant Singh Rana,Ram Krishan,Chandra Mohan Sharma,Bhupendra Singh Bhandari 한국산림과학회 2018 Forest Science And Technology Vol.14 No.2
The present study aimed to analyze the regeneration dynamics, population structure, and forest composition in some ridge forests of the Western Himalaya to elucidate the impact of climate change. The highest species richness (trees, 17; saplings, 16; seedlings, 16) was recorded in mixed Rhododendron arboreum forest. The maximum tree density (737 § 25.93 trees ha¡1; mixed Quercus floribunda); sapling density (5342 § 587.54 saplings ha¡1; mixed Quercus semecarpifolia), and seedling density (71,429 § 26,632.29 seedlings ha¡1; mixed Cedrus deodara) were recorded in forests of higher altitudes. The mean basal cover values in these forests oscillated between 39.21 § 1.53 m2 ha¡1 (mixed Quercus leucotrichophora) to 87.65 § 15.45 m2 ha¡1 (mixed Abies pindrow). The highest Shannon index value (0.51 § 0.05) and species evenness (0.36 § 0.02) for trees were recorded in mixed Rhododendron arboreum forest. Some species like Betula utilis, Myrica esculenta, Ficus rumphii, Ilex dipyrena, Quercus floribunda, Litsea elongata, Symplocos paniculata, and Abies spectabilis were noticed as new recruiters (recent invaders) in new habitats, which may change the future forest composition. This study revealed that ridge forests of the Bhagirathi catchment area were in transition phase at middle altitudes. Mixed Quercus floribunda forest was observed to be the youngest regenerating forest; however, mixed Abies pindrow forest was the most mature old-growth forest.
Disturbance, Diversity, Regeneration and Composition in Temperate Forests of Western Himalaya, India
Om Prakash Tiwari,Chandra Mohan Sharma,Yashwant Singh Rana,Ram Krishan 강원대학교 산림과학연구소 2019 Journal of Forest Science Vol.35 No.1
We have investigated the impact of anthropogenic and natural disturbances on regeneration, composition and diversity in some temperate forests of Bhagirathi Catchment Area of Garhwal Himalaya. The forests were categorized on the basis of canopy cover and magnitude of disturbance into highly, moderately and least disturbed classes. The dominant tree species at lower elevation were Pinus roxburghii and Quercus leucotrichophora, while Abies pindrow, Q. semecarpifolia and Rhododenron arboreum were the dominant species at the upper elevational forests. Cythula tomentosa and Indegophera heterentha were the dominant shrub species present in all the forests. Similarly, Circium wallichii and Oxalis corniculata were the dominant herb species found in all forests (except Q. leucotrichophora forest), whereas Thalictrum foliolosum and Viola pilosa were noticed in each forest (except P. roxburghii forest). The tree density values oscillated between 400±10 trees ha-1 to 750±89.1 trees ha-1 which generally decreased from lower to higher disturbance regimes however, the total basal cover value was highest (88.1±23.6 m2 ha-1) in highly disturbed forest and lowest (25.8±2.2 m2 ha-1) in moderately disturbed forest. The shrub and herb densities were maximum in least disturbed forest, while the young regenerating individuals i.e., sapling and seedling were observed increasing from high to low disturbed forests which reflected that the forest fragmentation adversely affected the regeneration. However, A. pindrow and P. roxburghii were found invariably encroaching the habitats of R. arboreum and Q. leucotrichophora at various altitudes, respectively. The Canonical Correspondence Analysis clearly indicated that the elevation and lopping intensity have more impact on trees, while shrub and herbs were more influenced by elevation, canopy cover, light attenuation and soil erosion. Pinus roxburghii was the only species which was affected by heavy litter removal and forest fire.
Some New Measures of Fuzzy Directed Divergence and Their Generalization
Om Parkash,P. K. Sharma 한국수학교육학회 2005 純粹 및 應用數學 Vol.12 No.4
There exist many measures of fuzzy directed divergence corresponding to the existing probabilistic measures. Some new measures of fuzzy divergence have been proposed which correspond to some well-known existing probabilistic measures. The essential properties of the proposed measures have been developed which contains many existing measures of fuzzy directed divergence.
Om Ahuja,Nisha Bohra,Asena Cetinkaya,Sushil Kumar 경북대학교 자연과학대학 수학과 2021 Kyungpook mathematical journal Vol.61 No.1
In this paper, we introduce new classes of post-quantum or (p, q)-starlike and convex functions with respect to symmetric points associated with a cardiod-shaped domain. We obtain (p, q)-Fekete-Szeg¨o inequalities for functions in these classes. We also obtain estimates of initial (p, q)-logarithmic coefficients. In addition, we get q-Bieberbachde-Branges type inequalities for the special case of our classes when p = 1. Moreover, we also discuss some special cases of the obtained results.
SYMMETRIC TOEPLITZ DETERMINANTS ASSOCIATED WITH A LINEAR COMBINATION OF SOME GEOMETRIC EXPRESSIONS
( Om P. Ahuja ),( KANIKA KHATTER ),( V. Ravichandran ) 호남수학회 2021 호남수학학술지 Vol.43 No.3
Let f be the function defined on the open unit disk, with f(0) = 0 = f′(0) - 1, satisfying Re (αf′(z) + (1 - α)zf′(z)/f(z)) > 0 or Re (αf′(z) + (1 - α)(1 + zf′′(z)/f′(z)) > 0 respectively, where 0 ≤ α ≤ 1. Estimates for the Toeplitz determinants have been obtained when the elements are the coefficients of the functions belonging to these two subclasses.