Detaylı Arama
İptal
Bulunan: 13 Adet 0.001 sn
- Eklemek veya çıkarmak istediğiniz kriterleriniz için 'VE' / 'VEYA' /'DEĞİL' seçeneğini kullanabilirsiniz.
- İptal tuşuna basarak normal aramaya dönebilirsiniz.
Filtreler
Filtreler
Bulunan: 13 Adet 0.001 sn
Yayımlanma Yılı : 2023 ✕Bölümü : Uygulamalı Matematik ... ✕
Koleksiyon [1]
Araştırmacılar [4]
BM Sürdürülebilir Kalkınma [4]
Fakültesi / Enstitütü [2]
Yayın Türü [1]
Yayımlanma Yılı [1]
Dil [1]
Kaynak [12]
Veri Tabanları [9]
İndex Türü [4]
Yayıncı [9]
Bölümü [1]
Ulusal/Uluslararası [2]
Konu Başlıkları [35]
Erişime Açık

An invariant of regular isotopy for disoriented links

İsmet ALTINTAŞ

In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.

Makale 2023 Fen Fakültesi Turkish Journal of Mathematics47 ( 1 ) 50 Görüntülenme
Erişime Açık

Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour. Keyword: In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour

Makale 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Görüntülenme
Erişime Açık

Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

Fahreddin ABDULLAYEV

Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities. Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition

Makale 2023 Fen Fakültesi Journal of Mathematical Analysis and Applications529 ( 2 ) 48 Görüntülenme
Erişime Açık

Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator

Ercan ÇELİK

In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed. Keywords: hadamard-type inequalities; rectangle

Makale 2023 Fen Fakültesi Journal of Function Spaces2023 48 Görüntülenme
Erişime Açık

The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument

Ercan ÇELİK

In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution was obtained. The numerical solution and the analytical solution are compared in the table. The solutions were found to be compatible. Keywords: approximate solution; boundary-value problem; numerical solution; retarded argument; solution methods; substitution method; boundary value problems

Makale 2023 Fen Fakültesi Journal of Applied Mathematics2023 71 Görüntülenme
Erişime Açık

Novel analytical and approximate-analytical methods for solving the nonlinear fractional smoking mathematical model

Ercan ÇELİK

Smoking is globally a challenging issue that causes many fatal health problems. In this paper, a nonlinear fractional smoking mathematical model is proposed in the context of a modi-fied form of the Caputo fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the fractional differential transform method (FDTM) and Laplace Adomian decomposition method (LADM). The ob-tained solution is provided as a rapidly convergent series. Simulation results are provided in this paper to compare the obtained solutions by FDTM, LAD ...Daha fazlası

Makale 2023 Fen Fakültesi Sigma Journal of Engineering and Natural Sciences41 ( 2 ) 41 Görüntülenme
Erişime Açık

Solitary wave solutions to some nonlinear conformable partial differential equations

Ercan ÇELİK

Fractional calculus is a field that is currently used in the world’s applications in many science and engineering fields where many models are still being developed and researched. The conformable time-fractional gives the full history of this function, which is the advantage of using fractional calculus to solve physical problems. In this study, the conformable time-fractional extended (2  1)-dimensional quantum Zakharov-Kuznetsov and the time-fractional modified Korteweg-de Vries equations are investigated by using the the modified exp (−Ω(ξ))-expansion function approach. Some new prototype ...Daha fazlası

Makale 2023 Fen Fakültesi Optical and Quantum Electronics55 ( 8 ) 23 Görüntülenme
Erişime Açık

On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Ercan ÇELİK

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions. Keywords: the sine-gordon expansion technique; the modified exp -expansion function technique; conformable derivative, non-linear schrödinger equation (NL ...Daha fazlası

Makale 2023 Fen Fakültesi Gazi University Journal of Science36 ( 2 ) 35 Görüntülenme
Erişime Açık

Best approximation-preserving operators over Hardy space

Fahreddin ABDULLAYEV

Let Tn be the linear Hadamard convolution operator acting over Hardy space Hq, 1≤q≤∞. We call Tn a best approximation-preserving operator (BAP operator) if Tn(en)=en, where en(z):=zn, and if ∥Tn(f)∥q≤En(f)q for all f∈Hq, where En(f)q is the best approximation by algebraic polynomials of degree a most n−1 in Hq space. We give necessary and sufficient conditions for Tn to be a BAP operator over H∞. We apply this result to establish an exact lower bound for the best approximation of bounded holomorphic functions. In particular, we show that the Landau-type inequality ∣∣fˆn∣∣+c∣∣fˆN∣∣≤En(f)∞, wher ...Daha fazlası

Makale 2023 Fen Fakültesi Analysis and Mathematical Physics13 ( 4 ) 31 Görüntülenme
Erişime Açık

The solvability of the optimal control problem for a nonlinear Schrödinger equation

Ercan ÇELİK

In this paper, we analyze the solvability of the optimal control problem for a nonlinear Schrodinger equation. A Lions-type functional is considered as the objective functional. First, it is shown that the optimal control problem has at least one solution. Later, the Frechet differentiability of the objective functional is proved and a formula is obtained for its gradient. Finally, a necessary optimality condition is derived. Keywords: frechet differentiability; optimal control problem; optimality conditions; schrödinger equation

Makale 2023 Fen Fakültesi International Journal of Optimization and Control: Theories & Applications13 ( 2 ) 24 Görüntülenme
Erişime Açık

Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation

Ercan ÇELİK

In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann-Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with & alpha;,& beta; time-fractional derivatives and some technical computations, new infinitesimal generators are obtained. The actual methods give some classical symmetries while the nonclassical approach will bring back other symmetries to these equations. The similarity reduction and c ...Daha fazlası

Makale 2023 Fen Fakültesi Advances in Mathematical Physics2023 14 Görüntülenme
Erişime Açık

Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation

Ercan ÇELİK

In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo-Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p & sdot; and q & sdot;. Finally, we prove a finite-time blow-up result for negative initial energy. Keyword: global existence; wave-equation

Makale 2023 Fen Fakültesi Advances in Mathematical Physics2023 18 Görüntülenme
Yükümlülüklerimiz ve çerez politikamız T.C. 6698 sayılı Kişisel Verilerin Korunması Kanunu kapsamındadır.
Tamam
creativecommons
Bu site altında yer alan tüm kaynaklar Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.
Platforms