[PDF] Top 20 A Study on Some New Results Arising from p; q -Calculus
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A Study on Some New Results Arising from p; q -Calculus
... As q-calculus including q-number with one base q is dealt with by some scientists, (p; q)- calculus including (p; q )-number with independent two ... See full document
16
A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
... and results of Bernstein polynomials by using (p,q)-calculus, we give basic definitions and results related to (p, ...this study is to investigate a generating function for ... See full document
12
A Study on New q Integral Inequalities
... A q-analog, also called a q-extension or q-generalization is a mathematical expression parameterized by a quantity q that generalized a known expression and reduces to the known expression in ... See full document
5
Some New Gronwall-Bellmann Type Discrete Fractional Inequalities Arising in the Theory of Discrete Fractional Calculus
... present some new Gronwall- Bellmann type discrete fractional sum inequalities, and based on them present some Volterra-Fredholm type discrete ...of new forms compared with the existing ... See full document
8
New families of special numbers and polynomials arising from applications of p adic q integrals
... many new identities and relations for these new families of special numbers and ...derive some identities and derivative formulas for these new numbers and ...the results of this ... See full document
11
Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
... we study umbral calculus to have alternative ways of obtaining our ...derive some interesting identities of the higher-order Bernoulli, Euler, and Hermite polynomials arising from ... See full document
10
Approximation results on Dunkl generalization of Phillips operators via q calculus
... The q-calculus appeared as a new area in approximation theory and has a lot of applica- tions in different mathematical areas and physics such as number theory, combinatorics, orthogonal polynomials, ... See full document
14
An analytic study on the Euler-Lagrange equation arising in calculus of variations
... relatively new computed approach called the differential transformation method (DTM) was introduced to find the solution of differential equations which arise from problems of calculus of ...to ... See full document
13
Some Opial type integral inequalities via \((p,q)\) calculus
... established some important integral ...and some recent integral inequalities in the quan- tum calculus of two parameters, ...(p, q)-analog, which generalize the results of [2, ... See full document
11
Some new results on sequence spaces with respect to non Newtonian calculus
... non-Newtonian calculus which consists of many calculi such as classical, geometric, anageometric, bigeometric calculus ...own calculus by choosing a different function as a ...of calculus; we ... See full document
17
Some identities of q Euler polynomials arising from q umbral calculus
... derived some interesting identities on weighted q-Euler polynomials and higher-order q-Euler polynomials from the applications of umbral calculus (see (Araci et ...the new method ... See full document
12
Research on Some New Results Arising from Multiple q-Calculus
... multiple q-analogue of the Heine’s binomial formula, chain rule and Leibnitz’s ...and results involving multiple q-antiderivative and multiple q-Jackson’s ...multiple q-analogue of ... See full document
14
Opial inequality in q calculus
... a new general Opial type integral inequality in ...in q-calculus involving two functions and their first order ...our results is quite elementary and based on some simple observations ... See full document
8
The modified degenerate q Bernoulli polynomials arising from p adic invariant integral on \(\mathbb{Z} {p}\)
... different from Carlitz’s degenerate Bernoulli polynomials (see Dolgy et ...we study some explicit identities and properties for the modified degenerate q-Bernoulli polynomials arising ... See full document
9
Some approximation results on Bernstein Schurer operators defined by \((p,q)\) integers
... of q-integers, the q-Bernstein operators were introduced by Lupaş [] and later by Philip ...introduced q-generalization of various operators and investigated several approximation ...the ... See full document
12
Some results on q difference equations
... (.), from which a q-difference analogue of the classical Malmquist theorem [] is given: if the q-difference equation ...a q-difference Riccati equation, ... See full document
11
Some results for the q Bernoulli, q Euler numbers and polynomials
... The q -analogues of many well known formulas are derived by using several results of q -Bernoulli, q -Euler numbers and ...The q -analogues of ζ-type functions are given by using ... See full document
16
Generalized \((p,q)\) Bleimann Butzer Hahn operators and some approximation results
... (p, q)-BBH operators. Our results show that the new operators are sensitive to the rate of convergence to f , depending on the selection of ...previous results for (p, ... See full document
14
Some approximation properties of \((p,q)\) Bernstein operators
... This paper is concerned with the (p, q)-analog of Bernstein operators. It is proved that, when the function is convex, the (p,q)-Bernstein operators are monotonic decreasing, as in the ... See full document
10
Approximation by modified Kantorovich–Stancu operators
... a new type λ-Bernstein operators, and a Kantorovich variant of the modified Bernstein operators was introduced and studied in ...of q-Bernstein–Stancu opera- tors in [14], applied (p, ... See full document
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