On Convolved Fibonacci Polynomials by Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Anna Napoli

Subjects: Get full text

Truncation error estimation for Newton–Cotes quadrature formulas by Kostas Plukas, Danutė Plukienė

Subjects: “…definite integral…”
Get full text

Error estimation for n-th order Filon quadrature formula by Kostas Plukas, Danutė Plukienė

Subjects: “…definite integral…”
Get full text

Professionally oriented approach to the study of the section "integral calculus" in the training of specialists of the economic profile by Nataliya V. Spiridonova

Subjects: Get full text

Some special cases on Stolarsky’s means by Cesare Palmisani

“…In this paper we observe that one-parameter Stolarsky’s means (SM) are deduced from both the Mean Value Theorem for derivatives (MVTD) and the Mean Value Theorem for definite integrals (MVTI), and we study their elementary properties as the parameter varies. …”
Get full text

Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation by Waleed Mohamed Abd-Elhameed, Abdullah F. Abu Sunayh, Mohammed H. Alharbi, Ahmed Gamal Atta

“…The discretization of the technique is based on several formulas about Lucas polynomials, such as those for explicit integer and fractional derivatives, products, and certain definite integrals of these polynomials. These formulas aid in transforming the TFDE and its conditions into a matrix system that can be treated through a suitable numerical procedure. …”
Get full text

Le Parti Socialiste du Pérou : la révolution, mais par qui ? by Jean-Ganesh Leblanc

“…His theses, adopted by the Peruvian Socialist Party, embody a confrontation between theory and the social reality they are supposed to apply to, thus renewing the situation’s understanding, and of Marxism as well, particularly in the revolutionary subject’s definition. Integrating new questions such as structural racism, the vigour of native traditions and the economic characteristics of an underdevelopped country, the PSP offers a Peruvianisation of Marxism.…”
Get full text

Problems solving in the integral calculus and the determination of the area under the curve by Juan E. N´apoles Vald´es, Maria Nubia Quevedo

“…This article presents a useful problem for Mathematics Education, derived from a generalized integral operator, for this we define what we understand by an integrable function in this generalized sense, and the geometric interpretation of a generalized definite integral is presented. The interesting thing about this generalization is that said geometric interpretation is similar to the geometric interpretation of the classical Riemann integral, but not in the xy plane, but in the Ty plane, where T is the kernel of the generalized integral. …”
Get full text

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses by Hai Zhang, Renyu Ye, Jinde Cao, Ahmed Alsaedi

“…By constructing a novel Lyapunov functional composed of fractional integral and definite integral terms, the globally asymptotic stability criteria of the equilibrium solution are obtained, which are dependent on the order of fractional derivative and network parameters. …”
Get full text

Asymptotical Behavior of the Solution of a SDOF Linear Fractionally Damped Vibration System by Z.H. Wang, M. L. Du

“…This paper proves that for the linear SDOF oscillator with a damping described by fractional-order derivative whose order is between 1 and 2, the solution of its initial value problem free of external excitation consists of two parts, the first one is the 'eigenfunction expansion' that is similar to the case without fractional-order derivative, and the second one is a definite integral that is independent of the eigenvalues (or characteristic roots). …”
Get full text