University of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401On bi-conservative hypersurfaces in the Lorentz-Minkowski 4-space $E_1^4$11770315010.22130/scma.2023.1982815.1215ENFiroozPashaieDepartment of Mathematics, Faculty of Science, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.0000-0002-3020-7649Journal Article20221225In the 1920s, D. Hilbert has showed that the tensor of stress-energy, related to a given functional $\Lambda$, is a conservative symmetric bicovariant tensor $\Theta$ at the critical points of $\Lambda$, which means that div$\Theta =0$. As a routine extension, the bi-conservative condition (i.e. div$\Theta_2=0$) on the tensor of stress-bienergy $\Theta_2$ is introduced by G. Y. Jiang (in 1987). This subject has been followed by many mathematicians. In this paper, we study an extended version of bi-conservativity condition on the Lorentz hypersurfaces of the Einstein space. A Lorentz hypersurface $M_1^3$ isometrically immersed into the Einstein space is called $\mathcal{C}$-bi-conservative if it satisfies the condition $n_2(\nabla H_2)=\frac{9}{2} H_2\nabla H_2$, where $n_2$ is the second Newton transformation, $H_2$ is the 2nd mean curvature function on $M_1^3$ and $\nabla$ is the gradient tensor. We show that the $C$-bi-conservative Lorentz hypersurfaces of Einstein space have constant second mean curvature.https://scma.maragheh.ac.ir/article_703150_8cf6f8c12725f2b3f6bd4d1025ae1423.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401Convolution Product for Hilbert $C^*$-Module Valued Maps193170414110.22130/scma.2022.557582.1145ENMawoussiTodjroDepartment of Mathematics, University of Kara, BP 404 Kara, Togo.0000-0002-0028-5515YaoganMensahDepartment of Mathematics, University of Lom\'e, 01 BP 1515 Lome,Togo
and International Chair in Mathematical Physics and Aplications (ICMPA), University of Abomey-Calavi, Benin.Journal Article20220711In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc. For instance, we prove a convolution theorem. Also, we study the boundless of the related convolution operator in various settings.https://scma.maragheh.ac.ir/article_704141_4d42d5ebb9d70de4b30f38772b26890d.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401Coefficient Bounds for a Family of Analytic Functions Linked with a Petal-Shaped Domain and Applications to Borel Distribution335070414010.22130/scma.2022.557374.1143ENTrailokyaPanigrahiInstitute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India.GangadharanMurugusundaramoorthySchool of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamilnadu, India.0000-0001-8285-6619EurekaPattnayakInstitute of Mathematics and Applications, Andharua,
Bhubaneswar-751029, Odisha, India.Journal Article20220708In this paper, by employing sine hyperbolic inverse functions, we introduced the generalized subfamily $\mathcal{RK}_{\sinh}(\beta)$ of analytic functions defined on the open unit disk $\Delta:=\{\xi: \xi \in \mathbb{C} \text{ and } |\xi|<1 \}$ associated with the petal-shaped domain. The bounds of the first three Taylor-Maclaurin's coefficients, Fekete-Szeg\"{o} functional and the second Hankel determinants are investigated for $f\in\mathcal{RK}_{\sinh}(\beta)$. We considered Borel distribution as an application to our main results. Consequently, a number of corollaries have been made based on our results, generalizing previous studies in this direction.https://scma.maragheh.ac.ir/article_704140_dcf98ffaa8c1ce1dfdb445ad63c62a58.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401Dynamical Systems Implemented by Isomorphic Groups of Unitaries516870319410.22130/scma.2023.559758.1158ENMaysamMosadeqDepartment of Mathematics, Larestan Branch, Islamic Azad University, Larestan, Iran.0000-0003-0456-3145Journal Article20220806Let $\varphi:A\to B$ be an isomorphism of $C^*$-algebras and $I$ be an ideal of $A.$ Introducing the concepts of unitary equivalent and the implemented Finsler modules, we show that the $\frac{A}{I}$-module $\frac{E}{E_{I}}$ and the implemented $\frac{B}{\varphi(I)}$-module $\frac{F}{F_{\varphi(I)}}$ are unitary equivalent. We also, establish a one to one correspondence between the groups $U(E)$ and $U(F)$ of unitaries on full Finsler modules $E$ and $F,$ respectively. Finally, we explain regularized dynamical systems and apply the aforementioned one to one correspondence to prove that each regularized dynamical system in $U(E)$ implements a regularized dynamical system in $U(F).$https://scma.maragheh.ac.ir/article_703194_7c9d7f1bc2aaa25e3a20a962a38312de.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401Product-type Operators Between Minimal M\"{o}bius Invariant Spaces and Zygmund Type Spaces698070414310.22130/scma.2023.560164.1163ENMostafaHassanlouEngineering Faculty of Khoy, Urmia University of Technology, Urmia, Iran.EbrahimAbbasiDepartment of Mathematics, Mahabad Branch, Islamic Azad University, Mahabad, Iran.0000-0002-4133-3763MehdiKanani ArpatapehDepartment of Mathematics, Payame Noor University, Tehran, Iran.SepidehNasresfahaniDepartment of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran.0000-0002-5494-861XJournal Article20220814In this work, we consider product-type operators $T^m_{u,v,\varphi}$ from minimal M\"{o}bius invariant spaces into Zygmund-type spaces. Firstly, some characterizations for the boundedness of these operators are given. Then some estimates of the essential norms of these operators are obtained. Therefore, some compactness conditions will be given.https://scma.maragheh.ac.ir/article_704143_427dc23f91b80e2b979a71e8825a8d73.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401Ostrowski Type Inequalities for $n$-Times Strongly $m$-$MT$-Convex Functions819670422310.22130/scma.2023.561568.1171ENBadreddineMeftahDepartment of Mathematics, 8 may 1945 University, Guelma 24000, Algeria.0000-0002-0156-7864ChaymaMarroucheDepartment of Mathematics, 8 may 1945 University, Guelma 24000, Algeria.Journal Article20220910In this paper, we introduce the class of strongly $m$--$MT$-convex functions based on the identity given in [P. Cerone et al., 1999]. We establish new inequalities of the Ostrowski-type for functions whose $n^{th}$ derivatives are strongly $m$--$MT$-convex functions.https://scma.maragheh.ac.ir/article_704223_354a42bc94186f185a88baf158152364.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401Fractional Simpson-Type Inequalities for Twice Differentiable Functions9710870436210.22130/scma.2023.557735.1150ENHuseyinBudakDepartment of Mathematics, Faculty of Science and Arts, Duzce
University, 81620, Duzce, Turkiye.0000-0001-8843-955XHasanKaraDepartment of Mathematics, Faculty of Science and Arts, Duzce
University, 81620, Duzce, Turkiye0000-0002-2075-944XFatihHezenciDepartment of Mathematics, Faculty of Science and Arts, Duzce
University, 81620, Duzce, Turkiye0000-0003-1008-5856Journal Article20220713In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex functions. In this research article, we obtain an identity for twice differentiable convex functions. Then, we prove several fractional inequalities of Simpson-type for convex functions.https://scma.maragheh.ac.ir/article_704362_1da46626ead7b66fd7ef230979a85ce0.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses10913270422410.22130/scma.2023.563452.1186ENWafaaRahouLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria.AbdelkrimSalimLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria and Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria.0000-0003-2795-6224JamalLarzegLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria.0000-0001-5585-2022MouffakBenchohraLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria.0000-0003-3063-9449Journal Article20221013This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii's fixed point theorem. An illustrative example is given to validate our main results.https://scma.maragheh.ac.ir/article_704224_01a4223f0b2ea18efa80fb1639ca8ea8.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401A New Two-Step Iterative Algorithm and $H(.,.)$-Mixed Mappings for Solving a System of Variational Inclusions13315670456010.22130/scma.2022.547905.1056ENSumeeraShafiDepartment of Mathematics, S.P. College, Cluster University, Srinagar-190001, India.Journal Article20220131A system of generalized mixed variational inclusion problem (SGMVIP) is considered involving $H(.,.)$-mixed mappings in $q$-uniformly smooth Banach spaces. By means of proximal-point mapping method, the existence of solution of this system of variational inclusions is given. A new two-step iterative algorithm is proposed for solving SGMVIP. Strong convergence of the proposed algorithm is given.https://scma.maragheh.ac.ir/article_704560_618e903fe0545afb7552d8f85b80c672.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580720320230401The Category of $S$-Fuzzy Posets15717770454610.22130/scma.2023.1983286.1222ENLeilaShahbazDepartment of Mathematics, University of Maragheh, Maragheh, 55181-83111, Iran.0000-0001-6312-6231Journal Article20221224In this paper, we define and consider, the category {\bf FPos}-$S$ of all $S$-fuzzy posets and action-preserving monotone maps between them. $S$-fuzzy poset congruences which play an important role in studying the<br />categorical properties of $S$-fuzzy posets are introduced. More precisely, the correspondence between the $S$-fuzzy poset congruences and the fuzzy action and order preserving maps is discussed. We characterize $S$-fuzzy poset congruences on the $S$-fuzzy posets in terms of the fuzzy pseudo orders. Some categorical properties of the category {\bf FPos}-$S$ of all $S$-fuzzy posets is considered. In particular, we characterize products, coproducts, equalizers, coequalizers, pullbacks and pushouts in this category. Also, we consider all forgetful functors between the category {\bf FPos}-$S$ and the categories {\bf FPos} of fuzzy posets, {\bf Pos}-$S$ of $S$-posets, {\bf Pos} of posets, {\bf Act}-$S$ of $S$-acts and {\bf Set} of sets and study the existence of their left and right adjoints. Finally, epimorphisms, monomorphisms and order embeddings in {\bf FPos} and {\bf FPos}-$S$ are studied.https://scma.maragheh.ac.ir/article_704546_862d46534148ae2743fef130a0478714.pdf