iosr-Jm   Volume-22 ~ Issue-4 ~ Jul. – Aug. 2026

Abstract :We present a necessary and sufficient condition for hypercyclicity of a basic elementary operator

Keywords: Hypercyclicity, Hypercyclicity criterion

[1]. Ansari, S. (1997). Existence Of Hypercyclic Operators On Topological Vector Spaces. J. Funct. Anal., 148:384-390.
[2]. Chan, K. (2001). The Density Of Hypercyclic Operators On A Hilbert Space. J. Operator Theory,47:131–143.
[3]. Clifford, O. (2019). Dynamics Of Generalised Derivations And Elementary Operators. Complex Analysis And Operator Theory, 13:257–274.
[4]. Farrukh, M. And Octabek, K. (2017). Hyper-Cyclic And Supercyclic Linear Operators On Non-Archmedian Vector. Bulletin Belgium Math. Soc., 12:10–15.
[5]. Grivaux, S. (2005). Hypercyclic Operators,Mixing Operators And Bounded Step Theorem. J.Math. Anal.Appl., 54:147–168

Abstract : Scheduling is a fundamental problem in manufacturing systems, where effective scheduling decisions directly influence production efficiency and overall profitability. This paper proposes a digraph-based optimization algorithm for maximum-profit scheduling. An illustrative example is provided to demonstrate the effectiveness of the proposed algorithm. The computational results indicate that the proposed method successfully identifies the maximum-profit path by efficiently....

Keywords: Digraph; Maximum-Profit Scheduling; Optimization Algorithm

[1]. Baker, K. R., & Trietsch, D. Principles Of Sequencing And Scheduling. John Wiley & Sons, 2009.
[2]. Pinedo, M. L. Scheduling: Theory, Algorithms, And Systems, 6th Ed. Springer, 2022.
[3]. Bondy, J. A., & Murty, U. S. R. Graph Theory. Springer, 2008..

Abstract : Image denoising is a fundamental task in image analysis and computer vision applications. Traditional frequency-domain filtering methods often use fixed filter parameters, which may not provide optimal performance for images corrupted with different noise levels. This paper presents an Adaptive Multi-Scale FFT-Based Image Denoising and Enhancement framework. The proposed method decomposes the image into multiple scales, performs Fast Fourier Transform (FFT) at each scale, and adaptively adjusts filtering parameters according to noise characteristics...

Keywords: Fast Fourier transformation, Image Denoising, Frequency Domain Filtering, Multi-Scale Analysis, Image Enhancement, PSNR, MSE, SSIM.

[1]. R. C. Gonzalez And R. E. Woods, Digital Image Processing, 4th Edition, Pearson Education, 2018.
[2]. A. V. Oppenheim And R. W. Schafer, Discrete-Time Signal Processing, 3rd Edition, Pearson Education, 2010.
[3]. J. W. Cooley And J. W. Tukey, “An Algorithm For The Machine Calculation Of Complex Fourier Series,” Mathematics Of Computation, Vol. 19, No. 90, Pp. 297–301, 1965.
[4]. B. Zitová And J. Flusser, “Image Registration Methods: A Survey,” Image And Vision Computing, Vol. 21, No. 11, Pp. 977–1000, 2003.
[5]. H. Foroosh, J. B. Zerubia, And M. Berthod, “Extension Of Phase Correlation To Subpixel Registration,” Ieee Transactions On Image Processing, Vol. 11, No. 3, Pp. 188–200, 2002.

Abstract : In this paper, the first-order wave equation and the second-order wave equation is solved by weighted SNA transformation[5], where the SNA transform is defined by...

Keywords: weighted SNA transform; wave equation; transport equation; Fourier transform; testing-function space; generalized function; D’Alembert solution.

[1]. Zemanian, A. H. (1968). Generalized Integral Transformations. Interscience Publishers, New York.
[2]. Bateman, H. (1994). Partial Differential Equations Of Mathematical Physics. Dover Publications, New York.
[3]. Dass, H. K., & Verma, R. (1997). Mathematical Physics. S. Chand Publishing, New Delhi.
[4]. Sneddon, I. N. (1972). The Use Of Integral Transforms. Mcgraw-Hill, New York.
[5]. Kumar, S., Shree, N., & Kumar, A. (2026). Weighted SNA Integral Transform And Its Properties. IOSR Journal Of Mathematics (IOSR-JM), 22(3), 41–53. Https://Doi.Org/10.9790/5728-2203024153.

Abstract : This paper examines the relationship between oil consumption of OPEC and global oil prices spanning from 1960 to 2020 using Pooled Mean Group Cointegration Method. Results of the study indicated that in a long run, there is no relationship between oil consumption of OPEC and global oil prices with error correction term and p-value of 0.217 and 0.001 respectively. This implies that the speed of adjustment to long run convergence following a disturbance in the long run is 21.7%. This result offers empirical evidence to the policies OPEC has put in place since it was established to ensure that all member states secure hemselves against global oil price fluctuations.

Keywords: Oil Consumption, Oil Prices, Pooled Mean Group Estimate, Im Persarin and Shin Test, OPEC

[1]. Abbasinejad, H., F. Gudarzi, Yazdan. And G. Asghari, E., 2012. The Relationship Between Energy Consumption, Energy Prices And Economic Growth: Case Study (Opec Countries). OPEC Energy Review, 36(3): 272-286.
[2]. Adom, P. And Kwakwa, P. (2014) ‘Effects Of Changing Trade Structure And Technical Characteristics Of The Manufacturing Sector On Energy Intensity In Ghana’, Renewable And Sustainable Energy Reviews, Vol. 35, Pp.475–483
[3]. Appiah G.K, Oduro E., Benn S. (2020) “Empirical Analysis Of Crude Oil Consumption And Price On Ghana’s Economic Growth” Open Science Journal 5(4)
[4]. Cantah, W. And Asmah, E. (2015) ‘Crude Oil Production And Growth Output: The Case Of Ghana’, International Journal Of Economics, Commerce And Management, Vol. 3, No. 5, Pp.470–498
[5]. Doric, B. And Dimovski, V. (2018) ‘Managing Petroleum Sector Performance – A Sustainable Administrative Design’, Journal Of Economic Research, Vol. 31, No. 1, Pp.119–138 P. 1690-1723.

Abstract : Classes of operators in Hilbert spaces have recently been studied in relation to quasi-similarity. Quasi-similarity has been shown to be an equivalence relation. Further, it has been established that normality, hyponormality, 𝑀-hyponormality, 𝑤-hyponormality, 𝑙𝑜𝑔-hyponormality and (𝑝,𝑘)-quasihyponormality are all preserved by quasi-similarity. It has also been demonstrated how quasi-similarity relates to other equivalence relations such as similarity and almost similarity. Specifically, similarity implies quasi-similarity which in turn implies almost similarity......

[1]. Halmos, P. R. (2017). Introduction To Hilbert Space And The Theory Of Spectral Multiplicity. Courier Dover Publications.
[2]. Helmberg, G. (2008). Introduction To Spectral Theory In Hilbert Space. Courier Dover Publications.
[3]. Jibril, A. A. (1996). On Almost Similar Operators. Arabian Journal For Science And Engineering, 21(3), 443-449.
[4]. Kamau, F., Wabomba, S. M., & Ndung’u, K. J. (2024). On Browder Spectrum And Quasisimilarity Of M-Hyponormal Operators In Hilbert Spaces.
[5]. Lilian, A., Wabomba, M. S., & Ndung’u, K. J. (2023). On Unitary Quasi-Equivalence And Partial Isometry Operators In Hilbert Spaces. Journal Of Advances In Mathematics And Computer Science, 38(10), 113-20.