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Now showing items 1-10 of 30

#### Oscillation criteria for higher-order nonlinear delay dynamic equations on time scales

(De Gruyter Open Ltd, 2016-06)

In this paper, oscillation criteria are obtained for higher-order half-linear delay difference equations involving generalized difference operator of the form Delta(b) (p(n) (Delta(m-1)(b) x(n))(alpha)) + q(n)x(n-sigma)(beta) ...

#### Explicit maximal and minimal curves over finite fields of odd characteristics

(Academic Press Inc Elsevier Science, 2016-11)

In this work we present explicit classes of maximal and minimal Artin-Schreier type curves over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 given in [1] as a very special ...

#### Further results on rational points of the curve y(qn) - y = gamma xqh+1 - alpha over F-qm

(Springer, 2016-06)

Let q be a positive power of a prime number. For arbitrary positive integers h, n, m with n dividing m and arbitrary gamma, alpha is an element of F-qm with gamma not equal 0 the number of F-qm - rational points of the ...

#### A summability process on Baskakov-type approximation

(Springer, 2016-06)

The summability process introduced by Bell (Proc Am Math Soc 38: 548-552, 1973) is a more general and also weaker method than ordinary convergence. Recent studies have demonstrated that using this convergence in classical ...

#### Smoothness Properties of Modified Bernstein-Kantorovich Operators

(Taylor and Francis Inc., 2016-01)

In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ...

#### Nonlinear Approximation: q-Bernstein Operators of Max-Product Kind

(Springer Verlag, 2016)

In this paper, we construct a certain family of nonlinear operators in order to approximate a function by these nonlinear operators. For construction, we use the linear q-Bernstein polynomials and also the max-product algebra.

#### Summation Process by Max-Product Operators

(Springer New York LLC, 2016)

In this study, we focus on the approximation to continuous functions by max-product operators in the sense of summation process. We also study error estimation corresponding to this approximation. At the end, we present ...

#### Hopf bifurcation analysis of coupled two-neuron system with discrete and distributed delays

(Springer, 2016-07)

We study the stability and Hopf bifurcation analysis of a coupled two-neuron system involving both discrete and distributed delays. First, we analyze stability of equilibrium point. Choosing delay term as a bifurcation ...

#### Generalized Binomial Convolution Of The Mth Powers Of The Consecutive Integers With The General Fibonacci Sequence

(De Gruyter Open Ltd, 2016-12)

In this paper, we consider Gauthier's generalized convolution and then define its binomial analogue as well as alternating binomial analogue. We formulate these convolutions and give some applications of them.

#### On sums of squares of Fibonomial coefficients by q-calculus

(World Scientific Publishing Co. Pte Ltd, 2016-09)

We present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kili, c and ...