Results 71 to 80 of about 2,702,462 (144)

Hybrid error estimates of Weddle's formula and their applications for various classes of functions

open access: yesAin Shams Engineering Journal
This study presents new bounds on Weddle's type formula for differentiable functions using proportional Caputo-Hybrid operators (Pcap). These operators provide hybrid estimates; for α=1, they yield first-derivative estimates, while for α=0, they ...
Muhammad Umar   +4 more
doaj   +1 more source

Subdifferential Regularity of Directionally Lipschitzian Functions

open access: yes, 2000
Formulas for the Clarke subdifferential are always expressed in the form of inclusion. The equality form in these formulas generally requires the functions to be directionally regular. This paper studies the directional regularity of the general class of
L. Thibault, M. Bounkhel
core   +1 more source

Extended Class of Symmetric Quantum Operators and Inequality-Preserving Unified ANN Framework

open access: yesMathematics
Symmetric quantum calculus offers a dynamic framework for investigating the various classes of functions. However, the symmetric quantum operators become inconclusive at certain points.
Muhammad Zakria Javed   +4 more
doaj   +1 more source

A Generalised Trapezoid Type Inequality for Convex Functions [PDF]

open access: yes, 2002
A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH)−divergence measure ...
Dragomir, Sever S
core   +1 more source

On Non-Linear Differential Systems with Mixed Boundary Conditions

open access: yesAxioms
For the constructive analysis of locally Lipschitzian system of non-linear differential equations with mixed periodic and two-point non-linear boundary conditions, a numerical-analytic approach is developed, which allows one to study the solvability and ...
Miklós Rontó
doaj   +1 more source

Caputo-hybrid fractional approach to estimates of corrected Euler-Maclaurin-type with computational analysis and applications

open access: yesJournal of Inequalities and Applications
In this manuscript, firstly we introduce a new auxiliary result for the Caputo-Hybrid fractional operator ( P c a p ) $(P_{cap})$ . As a result, we obtain improved hybrid estimates of Euler-Maclaurin-type for both first- and -second-order differentiable ...
Muhammad Mehtab   +3 more
doaj   +1 more source

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