Results 1 to 10 of about 54 (49)
Discontinuous functions in gale economic model
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]
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
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
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
Functions Whose Smoothness Is Not Improved Under the Limit q-bernstein Operator [PDF]
The limit q-Bernstein operator B-q emerges naturally as a modification of the Szasz-Mirakyan operator related to the Euler probability distribution. At the same time, this operator serves as the limit for a sequence of the q-Bernstein polynomials with 0 <
Ostrovska, Sofiya
core +2 more sources
Inequalities via s−convexity and log −convexity
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
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]
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
Weighted Ostrowski-Grüss type inequalities [PDF]
Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.
GONSKA, Heiner, ACU, Ana Maria
core +1 more source
Rate of convergence of Szász-beta operators based on q-integers
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

