666 research outputs found

    Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas - An Issue Dedicated to G. V. Milovanović

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    This Special Issue originates from The 1st Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM2018) held on 26-29 October 2018 in Antalya, Turkey, and was organized by organized by Prof. Yilmaz Simsek and Prof. Mustafa Alkan from the Department of Mathematics at Akdeniz University, Antalya, Turkey. The conference was dedicated to Prof. Gradimir V. Milovanović on the occasion of his 70th birthday, as is this special issue. In addition to selected contributions presented at the conference, this series includes high-quality papers that outline recent progress in the theory of Inequalities and their applications. Edited by: Allal Guessab and Yilmaz Simse

    Papillon-Lefevre syndrome: report of three cases in the same family

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    Keskin-Yildirim Z, Simsek-Derelioglu S. Kantarci M, Yilmaz Y, Buyukavci M. Papillon- Lefevre syndrome: report of three cases in the same family. Mirk J Pediatr 2012; 54: 171-176

    Twisted p-adic (h,q)-L-functions

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    AbstractBy using the q-Volkenborn integral on Zp, in Simsek (2006) [33] and Simsek (2007) [34], generating functions for the (h,q)-Bernoulli polynomials and numbers were defined. By using these functions, we define a new twisted (h,q)-partial zeta function which interpolates the twisted (h,q)-Bernoulli polynomials and generalized twisted (h,q)-Bernoulli numbers at negative integers. We give a relation between twisted (h,q)-partial zeta functions and the twisted (h,q)-two-variable L-function. We find the value of this function at s=0. We also find the residue of this function at s=1. We construct a p-adic twisted (h,q)-L-function which interpolates the twisted (h,q)-Bernoulli polynomials: Lξ,p,q(h)(1−n,t,χ)=−Bn,χn,ξ(h)(p∗t,q)−χn(p)pn−1Bn,χn,1(h)(p−1p∗t,qp)n. Furthermore, we construct an integral representation of the twisted (h,q)-two-variable L-function. We give some applications related to the p-adic twisted (h,q)-L-function and the twisted (h,q)-Bernoulli polynomials

    Papillon-Lefèvre syndrome: report of three cases in the same family.

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    Keskin-Yildirim Z, Simsek-Derelioglu S. Kantarci M, Yilmaz Y, Buyukavci M. Papillon- Lefevre syndrome: report of three cases in the same family. Mirk J Pediatr 2012; 54: 171-176

    On combinatorial type numbers related to some special numbers

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    Topology of soft cone metric spaces

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    International Conference on Functional Analysis in Interdisciplinary Applications (FAIA) -- OCT 02-05, 2017 -- Astana, KAZAKHSTANIn Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets.Kyrgyz Turkish Manas University [KTMUBAP-2016.FBE.12]This work is supported by Kyrgyz Turkish Manas University in the framework of Scientific Research Projects (KTMUBAP-2016.FBE.12)

    Identities related to special polynomials and combinatorial numbers

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    The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y1(n,k,?) and y2(n,k,?) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Zp. Finally, we give remarks and comments on our results.</jats:p
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