Results 1 to 10 of about 50 (49)

Discontinuous functions in gale economic model

open access: yesMathematical Modelling and Analysis, 2003
The concept of a general economic equilibrium based on balance of supply and demand has played a central role in theoretical economics since very beginning.
I. Bula
doaj   +2 more sources

Interpolating Between Choices for the Approximate Intermediate Value Theorem [PDF]

open access: yesLogical Methods in Computer Science, 2020
This paper proves the approximate intermediate value theorem, constructively and from notably weak hypotheses: from pointwise rather than uniform continuity, without assuming that reals are presented with rational approximants, and without using ...
Matthew Frank
doaj   +1 more source

Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
doaj   +1 more source

A hierarchy in the family of real surjective functions

open access: yesOpen Mathematics, 2017
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties.
Fenoy-Muñoz Mar   +3 more
doaj   +1 more source

Inequalities via s−convexity and log −convexity

open access: yesTopological Algebra and its Applications, 2017
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak   +2 more
doaj   +1 more source

Composition of functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 213-216, 2000., 2000
We prove that if f and g are functions from the reals into the reals such that the composition of g with f is continuous and f is both Darboux and surjective, then g is continuous. We also prove that continuous and Darboux can be interchanged in the above statement.
Kandasamy Muthuvel
wiley   +1 more source

Stancu-durrmeyer type operators based on q-integers [PDF]

open access: yes, 2017
In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem ...
Araci, Serkan   +8 more
core   +1 more source

Rate of convergence of Szász-beta operators based on q-integers

open access: yesDemonstratio Mathematica, 2017
The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence.
Gupta Pooja, Agrawal Purshottam Narain
doaj   +1 more source

On generalized Baskakov-Durrmeyer-Stancu type operators

open access: yesDemonstratio Mathematica, 2017
In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish   +2 more
doaj   +1 more source

Global Smoothness Of Approximating Functions

open access: yes, 1991
We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (Lnf).
Anastassiou, George A.   +2 more
core   +1 more source

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