. The investigation of Ma and Minda classes of functions associated with q -calculus has been on increase in recent times. Newly, limac¸on functions, the classes of starlike and convex limac¸on functions were initiated and investigated in the literature. As a result, the present article is aimed to present the q -analogue of the limac¸on functions and utilize it to establish the classes of starlike and convex limac¸on functions that are correlated with quantum calculus. To this end, the geometric characterization of these functions is examined. Moreover, radius, subordination and some other related results with these novel classes are verified. Overall, some consequences of our investigations are also illustrated.
{"title":"A Study of q-analogue of the analytic characterization of Limacon functions","authors":"K. Jabeen, A. Saliu","doi":"10.18514/mmn.2023.3850","DOIUrl":"https://doi.org/10.18514/mmn.2023.3850","url":null,"abstract":". The investigation of Ma and Minda classes of functions associated with q -calculus has been on increase in recent times. Newly, limac¸on functions, the classes of starlike and convex limac¸on functions were initiated and investigated in the literature. As a result, the present article is aimed to present the q -analogue of the limac¸on functions and utilize it to establish the classes of starlike and convex limac¸on functions that are correlated with quantum calculus. To this end, the geometric characterization of these functions is examined. Moreover, radius, subordination and some other related results with these novel classes are verified. Overall, some consequences of our investigations are also illustrated.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation by Apostol-Genocchi summation-integral type operators","authors":"Chandra Prakash, N. Deo, D. K. Verma","doi":"10.18514/mmn.2023.3848","DOIUrl":"https://doi.org/10.18514/mmn.2023.3848","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chonjaroen Chairatsiripong, L. Kittiratanawasin, D. Yambangwai, T. Thianwan
. The aim of this paper is to propose a new faster iterative method, called the MN-iteration process, for approximating a fixed point of continuous functions on an arbitrary interval. Then, a necessary and sufficient condition for the convergence of the MN-iteration of continuous functions on an arbitrary interval is established. We also compare the rate of convergence between the proposed iteration and some other iteration processes in the literature. Specifically, our main result shows that MN-iteration converges faster than NSP-iteration to the fixed point. We finally give numerical examples to compare the result with Mann, Ishikawa, Noor, SP and NSP iterations. Our findings improve corresponding results in the contemporary literature.
{"title":"Convergence theorem and convergence rate of a new faster iteration method for continuous functions on an arbitrary interval","authors":"Chonjaroen Chairatsiripong, L. Kittiratanawasin, D. Yambangwai, T. Thianwan","doi":"10.18514/mmn.2023.3978","DOIUrl":"https://doi.org/10.18514/mmn.2023.3978","url":null,"abstract":". The aim of this paper is to propose a new faster iterative method, called the MN-iteration process, for approximating a fixed point of continuous functions on an arbitrary interval. Then, a necessary and sufficient condition for the convergence of the MN-iteration of continuous functions on an arbitrary interval is established. We also compare the rate of convergence between the proposed iteration and some other iteration processes in the literature. Specifically, our main result shows that MN-iteration converges faster than NSP-iteration to the fixed point. We finally give numerical examples to compare the result with Mann, Ishikawa, Noor, SP and NSP iterations. Our findings improve corresponding results in the contemporary literature.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interval-valued Iq^b-calculus and applications","authors":"Fangfang Shi, G. Ye, Dafang Zhao, Wei Liu","doi":"10.18514/mmn.2023.3972","DOIUrl":"https://doi.org/10.18514/mmn.2023.3972","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this work, strongly ⊕ − g − radical supplemented modules are defined and some properties of these modules are investigated. Every ring has unity and every module is unital left module in this work. It is proved that every direct summand of a strongly ⊕− g − radical supplemented module is strongly ⊕− g − radical supplemented. Let f : M −→ N be an R − module epimorphism and Ker ( f ) be a direct summand of M . If M is strongly ⊕− g − radical supplemented, then N is also strongly ⊕− g − radical supplemented. Let M be a strongly ⊕− g − radical supplemented R − module and K ≤ M . If V is a g-radical supplement submodule in M for every g-radical supplement submodule V / K in M / K , then M / K is strongly ⊕− g − radical supplemented.
． 本文定义了强⊕−g−自由基补充模，并研究了这些模的一些性质。在这个作品中，每个环都有统一，每个模都是统一的左模。证明了强⊕−g−根补充模的每一个直接和都是强⊕−g−根补充模。设f: M−→N是R−模的上模，且Ker (f)是M的直接和。如果M是强⊕- g -自由基的补充，则N也是强⊕- g -自由基的补充。设M为强⊕−g−自由基补充R−模，且K≤M。若M / K中的每一个g-自由基补充子模V / K都是M中的一个g-自由基补充子模，则M / K是强⊕- g-自由基补充。
{"title":"Strongly ⊕−g−radical supplemented modules","authors":"H. Özdemir, C. Nebiyev","doi":"10.18514/mmn.2023.4029","DOIUrl":"https://doi.org/10.18514/mmn.2023.4029","url":null,"abstract":". In this work, strongly ⊕ − g − radical supplemented modules are defined and some properties of these modules are investigated. Every ring has unity and every module is unital left module in this work. It is proved that every direct summand of a strongly ⊕− g − radical supplemented module is strongly ⊕− g − radical supplemented. Let f : M −→ N be an R − module epimorphism and Ker ( f ) be a direct summand of M . If M is strongly ⊕− g − radical supplemented, then N is also strongly ⊕− g − radical supplemented. Let M be a strongly ⊕− g − radical supplemented R − module and K ≤ M . If V is a g-radical supplement submodule in M for every g-radical supplement submodule V / K in M / K , then M / K is strongly ⊕− g − radical supplemented.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Repdigits as sums of three Half-companion Pell numbers","authors":"Abdullah Çağman","doi":"10.18514/mmn.2023.4143","DOIUrl":"https://doi.org/10.18514/mmn.2023.4143","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68207318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical oscillation of nonlinear generalized delay single species population model","authors":"Qi Wang, Qian Yang","doi":"10.18514/mmn.2023.3616","DOIUrl":"https://doi.org/10.18514/mmn.2023.3616","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68204019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper, we define the generalized q -Ces`aro matrix by using generalized Ces`aro matrix and q -Ces`aro matrix. We investigate normality, self-adjointedness and Hilbert-Schmidt properties of generalized q -Ces`aro matrices.
{"title":"Some algebraic properties of generalized q-Cesáro matrix C_{g}(q)","authors":"H. Yazarli","doi":"10.18514/mmn.2023.4105","DOIUrl":"https://doi.org/10.18514/mmn.2023.4105","url":null,"abstract":". In this paper, we define the generalized q -Ces`aro matrix by using generalized Ces`aro matrix and q -Ces`aro matrix. We investigate normality, self-adjointedness and Hilbert-Schmidt properties of generalized q -Ces`aro matrices.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68207195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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