Results 11 to 20 of about 66,848 (65)

Abduction of Generalizations [PDF]

open access: yesTheoria, 2012
Abduction of generalizations is the process in which explanatory hypotheses are formed for an observed, yet puzzling generalization such as ``pineapples taste sweet" or ``rainbows appear when the sun breaks through the rain". This phenomenon has received
Tjerk Gauderis, Frederik Van De Putte
doaj   +2 more sources

Jordan's Inequality: Refinements, Generalizations, Applications and Related Problems [PDF]

open access: yes, 2006
This is an expository article. Some developments on refinements, generalizations, applications of Jordan’s inequality and related problems, including some estimates for three classes of complete elliptic integrals and several proofs of Wilker’s ...
Qi, Feng
core   +6 more sources

Generalizations of Weighted Trapezoidal Inequality for Mappings of Bounded Variation and their Applications [PDF]

open access: yes, 2003
In this paper, we establish some generalizations of weighted trapezoid inequality for mappings of bounded variation, and give several applications for r − moment, the expectation of a continuous random variable and the Beta ...
Yang, Gou-Sheng   +2 more
core   +6 more sources

Generalizations and Refinements of Hermite-Hadamard's Inequality [PDF]

open access: yes, 2001
In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex ...
Qi, Feng, Yang, Qiao, Wei, Zong-Li
core   +6 more sources

GENERALIZATIONS OF δ-LIFTING MODULES [PDF]

open access: yesJournal of Algebraic Systems, 2013
In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule
Yahya Talebi, Mehrab Hosseinpour
doaj   +1 more source

A Model for Teaching Mathematical Argument at the Elementary Grades

open access: yesJournal of Educational Research in Mathematics, 2020
Over years of collaborating with elementary-school teachers to research students' thinking about the "big ideas" of K-6 mathematics, particular attention was given to generalizations about the operations-addition, subtraction, multiplication, and ...
Deborah Schifter, Susan Jo Russell
doaj   +1 more source

Generalizations of Higher-Order Duality for Multiple Objective Nonlinear Programming under the Generalizations of Type-I Functions

open access: yesMathematics, 2023
In this study, we introduce new generalizations of higher-order type-I functions and higher-order pseudo-convexity type-I functions. The application of the notion of sublinear functionals to these generalizations of higher-order type-I and higher-order ...
Mohamed Abd El-Hady Kassem   +1 more
doaj   +1 more source

The Extended Mean Values: Definition, Properties, Monotonicities, Comparison, Convexities, Generalizations, and Applications [PDF]

open access: yes, 2001
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of inequalities, and even in the whole mathematics, since many norms in mathematics are always means.
Qi, Feng
core   +6 more sources

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip   +2 more
doaj   +1 more source

Matrix generalizations of integrable systems with Lax integro-differential representations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We found matrix integro-differential Lax representations for Davey-Stewartson systems (DSI, DS-II, DS-III), (2+1)-dimensional generalizations of Chen-Lee-Liu equation and its higher symmetries.
Yu. M. Sydorenko, O. I. Chvartatskyi
doaj   +1 more source

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