We use two parameters for functions whose second (q, ?)-derivatives are bounded in order to prove several recent extensions of the Ostrowski inequality and its companion inequalities on ?)-Hahn difference operator. Furthermore, we procure some q-integral continuous as special cases main results well these generalizations. Symmetry plays an essential role determining correct methods solve dynami...

In this paper, we obtain new generalization of Hermite-Hadamard inequalities via generalized fractional integrals defined by Sarikaya and Ertu?ral in [12]. We establish some midpoint trapezoid type for functions whose first derivatives absolute value are convex involving integrals.

Groups of pregnant rats were injected with two successive daily doses of 3H-thymidine from gestational days 12 and 13 (E12 + 13) until the day before parturition (E21 + 22). In adult progeny of the injected rats the proportion of neurons generated on specific embryonic days was determined quantitatively in the vestibular and auditory nuclei of the upper medulla. In the vestibular nuclei, neuron...

Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right -integrals. Moreover, prove some -midpoint -trapezoid type inequalities -differentiable functions. To illustrate the newly established inequalities, give particular examples

A numerical solution of the system linear Volterra–Stieltjes integral equations second kind has been found and analyzed using so-called generalized trapezoid rule. Conditions for estimating error have also determined justified. an example obtained proposed method is given.

We made intraaxonal recordings from 30 individual globular bushy cell axons in the trapezoid body of the cat using HRP-filled glass microelectrodes. With subsequent HRP injection, we determined their axonal projection patterns. For cells with characteristic frequencies (CFs) above 3 kHz, short-tone peristimulus time histograms (PSTHs) at CF were typically primarylike at low tone intensities and...

Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f ′| is convex is explored. Applications for the midpoint rule and a generalised trapezoid type rule are also presented.

Scapho-trapezio-trapezoid arthrodesis was originally performed for the treatment of scapho-lunate instability. However, only a few publications have described this technique for treatment of osteoarthritis of the scapho-trapezio-trapezoid (STT) joint. The purpose of this paper is to analyze the results of triscaphoid arthrodesis for STT osteoarthritis with a long-term follow-up. Thirteen cases ...