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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.
One again on Udayana’s treatment of the Negative Particle ‘Nañ’
Om Nath Bimali 한국외국어대학교 인도연구소 2016 남아시아연구 Vol.22 No.1
The Navya Nyaya vaiseshik tradition of the Indian philosophical schools perceives reality as existent, knowable and verbal. The world of realities for this tradition consists of positive entities as well as negative entities. The Śabdabodha literature presents a lengthy, fuller and very detailed descriptions of the processes involved in the generation of verbal understanding communicating the positive entities. But aparts from Raghunath Shiromani’s Nañvāda no other text is known to be presenting a fuller treatment of the issues of communicating the negative entities. However, a noteworthy development has taken place recently with the publication of Nañvādākārikā from Nagoya in Japan. The present paper attempts to understand the Linguistic philosophy of the communication of Negative entities outline by Udayan, the author of the text.
Om Prakash Chauhan,Deepak Singh,Vishal Joshi,Garima Singh,Rajendra Kumar Sharma 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.4
In this article, we define the notion of a non-negative function satisfying property of oneness. Utilizing this concept, certain unified fixed point results are established. Furthermore generalized φ-contractions mapping and some fixed point results in the framework of symmetric space are also presented. Some well-known results from the existence literature are obtained through our introduced setting. Results are substantiated by some innovative examples with the aid of visualization of surfaces. Moreover applications of obtained theory for the existence for the system of integral equations as well as for the system of functional equations occurred in dynamic programming are also presented.
F-contraction in Partially Ordered b-metric like Spaces
Om Prakash Chauhan,Vishal Joshi,Saurabh Singh 한국수학교육학회 2024 純粹 및 應用數學 Vol.31 No.1
In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.
Om Ariara Guhan, C.P.,Arthanareeswaran, G.,Varadarajan, K.N.,Krishnan, S. Society for Computational Design and Engineering 2016 Journal of computational design and engineering Vol.3 No.3
Oval substrates are widely used in automobiles to reduce the exhaust emissions in Diesel oxidation Catalyst of CI engine. Because of constraints in space and packaging Oval substrate is preferred rather than round substrate. Obtaining the flow uniformity is very challenging in oval substrate comparing with round substrate. In this present work attempts are made to optimize the inlet cone design to achieve the optimal flow uniformity with the help of CATIA V5 which is 3D design tool and CFX which is 3D CFD tool. Initially length of inlet cone and mass flow rate of exhaust stream are analysed to understand the effects of flow uniformity and pressure drop. Then short straight cones and angled cones are designed. Angled cones have been designed by two methodologies. First methodology is rotating flow inlet plane along the substrate in shorter or longer axis. Second method is shifting the flow inlet plane along the longer axis. Large improvement in flow uniformity is observed when the flow inlet plane is shifted along the direction of longer axis by 10, 20 and 30 mm away from geometrical centre. When the inlet plane is rotated again based on 30 mm shifted geometry, significant improvement at rotation angle of $20^{\circ}$ is observed. The flow uniformity is optimum when second shift is performed based on second rotation. This present work shows that for an oval substrate flow, uniformity index can be optimized when inlet cone is angled by rotation of flow inlet plane along axis of substrate.
( Om Prakash ),( Seongwon Im ),( Alsayed Mostafa ),( Chungman Moon ),( Dong Hoon Kim ) 한국폐기물자원순환학회(구 한국폐기물학회) 2021 한국폐기물자원순환학회 춘계학술발표논문집 Vol.2021 No.-
The treatment of sulfate rich wastewater leads to the failure of anaerobic digestion process due to high sulfide generation. Sulfide toxicity for the anaerobic digestion process is one the major concern that needs to overcome in order to recover the methanogenic potential of the sulfate-rich wastewater. In the present study, we tried to enhance the sulfide tolerance by promoting direct interspecies electron transfer (DIET) via electrical energy input (EEI). Two different operational conditions have been set to study the effect of sulfide on methanogenic process using up-flow anaerobic sludge blanket (UASB) reactor, comprising one control and one EEI reactor with an applied voltage of 0.6 V. The operation was continued for 194 days under different COD/SO<sub>4</sub> <sup>2-</sup> ratios. The EEI reactor exhibited maximum performance of 2.3 L CH<sub>4</sub>/L/d at the COD/SO<sub>4</sub> <sup>2-</sup> of 5 which is 15 % higher than the control. The free sulfide concentration were 251 and 283 mg S<sup>2-</sup>/L in control and EEI reactors, exceeding the inhibition threshold (50-200 mg S<sup>2-</sup>/L). Only EEI reactor could keep its advanced performance, by acquiring 12 and 15% higher sulfate removal and CH<sub>4</sub> productivity respectively than control reactor. Form this study, it can be claimed that DIET stimulation has potential for enriching efficient sulfate-metabolizing microbes. Furthermore, microbiological studies can enhance the depth of the mechanism and unearthed the reason behind the sulfide tolerance system supported by DIET promoting reactor.
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.
औचित्य का कावत्व : स्वरूप, सन्दर्भ और समस्याएँ
????? ?????(Om Nath Bimali) 한국외국어대학교 인도연구소 2016 남아시아연구 Vol.21 No.3
Auchitya as the soul of poetry: it"s references and problems. The question as to what constitutes the idea of poetry evokes the emergence of certain notions in our mind. All those notions are somehow or the other related to poetry. The said notions can be seen as the poetical elements. Those notions play different rules and contribute something or the other, thus helping a certain linguistic expression received the persona of poetry. But among all those poetical elements what is that element whose presence enables a linguistic expression to be designated as poetry and whose absence debars it from being a case of poetry, irrespective of the presence of other poetic elements? What is the very essence of poetry? What is it to be a case of poetry? What is the soul of poetry? This has all along remained the most significant question in the history of literary criticism in India. A mere glance into the tradition would reveal the fact that the Indian savants of literary art, have delved very deep into these questions. In fact their engagement with this very question was so intensive, so expensive, so full and so fertile that this paved the way for emergence and development of Indian science of literary criticism. One of the six schools fundamentally differed from others when it comes to the idea of the soul of the overall phenomenon called ‘Poetry’. Unlike other schools, the present school did not see a particular, traditionally perceptible poetic element constituting the idea of poetry. Rather, the appropriate synthesis of all poetic elements on the part of the poet constitutes the idea of Poetry. This theory is known as the theory of “Auchitya” and its propounder was a 10<SUP>th</SUP> or 11<SUP>th</SUP> Century critique ‘Kshemendra’. This article aims at critically examine the theory, its historicity and the problems it brings. This paper also sums up the modern contributions on this poetic notion.
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.