ORIGINAL_ARTICLE Arens-irregularity of tensor product of Banach algebras We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arensregular Banach algebras such that tensor product becomes irregular, where is tensor norm. Weillustrate injective tensor product, does not preserve bounded approximate identity and it is notalgebra norm. https://ijnaa.semnan.ac.ir/article_110_b4abcb01c04089ee8011111f76b3eb00.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 1 8 10.22075/ijnaa.2014.110 T. Yazdanpanah true 1 aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran. aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran. aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran. LEAD_AUTHOR R. Gharibi true 2 aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran. aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran. aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran. AUTHOR
ORIGINAL_ARTICLE Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces We study an interesting class of Banach function algebras of in nitely di erentiable functions onperfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, calledLipschitz algebras of in nitely di erentiable functions and denoted by Lip(X;M; ), where X is aperfect, compact plane set, M = fMng1n=0 is a sequence of positive numbers such that M0 = 1 and(m+n)!Mm+n ( m!Mm)( n!Mn) for m; n 2 N [ f0g and 2 (0; 1]. Let d = lim sup( n!Mn)1n and Xd = fz 2 C :dist(z;X)  dg. Let LipP;d(X;M; )[LipR;d(X;M; )] be the subalgebra of all f 2 Lip(X;M; )that can be approximated by the restriction to Xd of polynomials [rational functions with poles o Xd]. We show that the maximal ideal space of LipP;d(X;M; ) is cXd, the polynomially convex hullof Xd, and the maximal ideal space of LipR;d(X;M; ) is Xd, for certain compact plane sets.. Usingsome formulae from combinatorial analysis, we nd the maximal ideal space of certain subalgebrasof Lipschitz algebras of in nitely di erentiable functions. https://ijnaa.semnan.ac.ir/article_111_3aee2736a32d307e34b4d8bc34fafb5a.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 9 22 10.22075/ijnaa.2014.111 D. Alimohammadi true 1 Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. LEAD_AUTHOR F. Nezamabadi true 2 Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. AUTHOR
ORIGINAL_ARTICLE Ternary (\sigma,\tau,\xi)-derivations on Banach ternary algebras Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary A-module.Let ;  and  be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary(; ; )-derivation, ifD([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]Xfor all x; y; z 2 A.In this paper, we investigate ternary (; ; )-derivation on Banach ternary algebras, associatedwith the following functional equationf(x + y + z4) + f(3x 􀀀 y 􀀀 4z4) + f(4x + 3z4) = 2f(x) :Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )-derivations on Banachternary algebras. https://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 23 35 10.22075/ijnaa.2014.112 M. Eshaghi Gordji true 1 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. LEAD_AUTHOR F. Farrokhzad true 2 Department of Mathematics, Shahid Beheshti University, Tehran, Iran. Department of Mathematics, Shahid Beheshti University, Tehran, Iran. Department of Mathematics, Shahid Beheshti University, Tehran, Iran. AUTHOR S.A.R. Hosseinioun true 3 Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA. AUTHOR
ORIGINAL_ARTICLE Contractive maps in Mustafa-Sims metric spaces The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms ofanticipative contractions over the associated (standard) metric space. https://ijnaa.semnan.ac.ir/article_113_0b35677d1efa6cc2becda06023b6e04d.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 36 53 10.22075/ijnaa.2014.113 M. Turinici true 1 "A. Myller" Mathematical Seminar, "A. I. Cuza" University, 700506 Iasi, Romania. "A. Myller" Mathematical Seminar, "A. I. Cuza" University, 700506 Iasi, Romania. "A. Myller" Mathematical Seminar, "A. I. Cuza" University, 700506 Iasi, Romania. LEAD_AUTHOR
ORIGINAL_ARTICLE Tripled partially ordered sets In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new de ned sets are studied and some examples forclarifying are given. https://ijnaa.semnan.ac.ir/article_114_42e7a53b23613e649516a8991bc7f54e.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 54 63 10.22075/ijnaa.2014.114 M. Eshaghi true 1 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran LEAD_AUTHOR A. Jabbari true 2 Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran AUTHOR S. Mohseni true 3 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. AUTHOR
ORIGINAL_ARTICLE A fixed point result for a new class of set-valued contractions In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature. https://ijnaa.semnan.ac.ir/article_115_04704abdd8d440603dc84fa5e05cfff9.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 64 70 10.22075/ijnaa.2014.115 A. Sadeghi Hafjejani true 1 Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran. Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran. Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran. AUTHOR A. Amini Harandi true 2 Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran. Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran. Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE On a more accurate multiple Hilbert-type inequality By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multipleHilbert-type inequality and the equivalent form are given. We also prove that the same constantfactor in the equivalent inequalities is the best possible. https://ijnaa.semnan.ac.ir/article_116_ea3df0090bfbe87b3cfe918003fb4766.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 71 79 10.22075/ijnaa.2014.116 Q. Huang true 1 Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. AUTHOR B. Yang true 2 Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. LEAD_AUTHOR
ORIGINAL_ARTICLE A multidimensional discrete Hilbert-type inequality In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered. https://ijnaa.semnan.ac.ir/article_117_ad1285ddb601787b355b2ddbba08a66f.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 80 88 10.22075/ijnaa.2014.117 B. Yang true 1 Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China. LEAD_AUTHOR
ORIGINAL_ARTICLE A companion of Ostrowski's inequality for functions of bounded variation and applications A companion of Ostrowski's inequality for functions of bounded variation and applications are given. https://ijnaa.semnan.ac.ir/article_118_8b6d57c3efcc79541d89acc0de017063.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 89 97 10.22075/ijnaa.2014.118 S.S. Dragomir true 1 School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa. School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa. School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa. LEAD_AUTHOR
ORIGINAL_ARTICLE Some new extensions of Hardy`s inequality In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions https://ijnaa.semnan.ac.ir/article_119_3350455c94f51970ab2121f655161633.pdf 2014-01-01T11:23:20 2020-01-24T11:23:20 98 109 10.22075/ijnaa.2014.119 A.R. Moazzen true 1 Department of Mathematics, Velayat University, Iranshahr, Iran. Department of Mathematics, Velayat University, Iranshahr, Iran. Department of Mathematics, Velayat University, Iranshahr, Iran. LEAD_AUTHOR R. Lashkaripour true 2 Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. AUTHOR