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Regular fractional iteration of convex functions

100%

Kuczma M.

Annales Polonici Mathematici

|

1980

|

tom 38

|

nr 1

95-100

EN

The existence of a unique $C^1$ solution φ of equation (1) is proved under the condition that f: I → I is convex or concave and of class $C^1$ in I, 0 < f(x) < x in I*, and f'(x) > 0 in I. Here I = [0, a] or [0, a), 0 < a ≤ ∞, and I* = I\ {0}.

2

General continuous solution of a linear homogeneous functional equation

50%

Kuczma M.

Annales Polonici Mathematici

|

1977-1978

|

tom 35

|

nr 1

21-25

3

On the radius of convergence of series solutions of a functional equation

45%

Kuczma M., Smajdor W.

Annales Polonici Mathematici

|

1970-1971

|

tom 24

|

nr 2

233-240

4

Non-negative continuous solutions of a functional inequality

44%

Kuczma M.

Annales Polonici Mathematici

|

1979

|

tom 36

|

nr 1

73-84

5

Quelques observations à propos de l'équation pré-Schröder

44%

Kuczma M.

Annales Polonici Mathematici

|

1973

|

tom 28

|

nr 1

49-52

6

Analytic solutions of a linear functional equation

44%

Kuczma M.

Annales Polonici Mathematici

|

1968-1969

|

tom 21

|

nr 3

297-303

7

Iteration of random-valued functions on the unit interval

38%

Baron K., Kuczma M.

Colloquium Mathematicum

|

1977

|

tom 37

|

nr 2

263-269

8

Newton-like algorithms for kth root calculation

38%

Kuczma M., Światak H.

Annales Polonici Mathematici

|

1990-1991

|

tom 52

|

nr 3

303-312

9

Special solutions of a functional equation

38%

Kuczma M.

Annales Polonici Mathematici

|

1972-1973

|

tom 27

|

nr 1

29-32

10

Cauchy's functional equation on a restricted domain

38%

Kuczma M.

Colloquium Mathematicum

|

1973

|

tom 28

|

nr 2

313-315

11

On a certain series

32%

Kuczma M.

Annales Polonici Mathematici

|

1972

|

tom 26

|

nr 2

199-204

12

On some properties of Erdös sets

32%

Kuczma M.

Colloquium Mathematicum

|

1984

|

tom 48

|

nr 1

127-134

13

Almost convex functions

26%

Kuczma M.

Colloquium Mathematicum

|

1970

|

tom 21

|

nr 2

279-284

Ograniczanie wyników

9 Annales Polonici Mathematici

4 Colloquium Mathematicum

13 Kuczma M.

1 Baron K.

1 Smajdor W.

1 Światak H.

1 1991

1 1984

1 1980

1 1979

2 1977

2 1973

2 1972

1 1971

1 1970

1 1969

Regular fractional iteration of convex functions

General continuous solution of a linear homogeneous functional equation

On the radius of convergence of series solutions of a functional equation

Non-negative continuous solutions of a functional inequality

Quelques observations à propos de l'équation pré-Schröder

Analytic solutions of a linear functional equation

Iteration of random-valued functions on the unit interval

Newton-like algorithms for kth root calculation

Special solutions of a functional equation

Cauchy's functional equation on a restricted domain

On a certain series

On some properties of Erdös sets

Almost convex functions