Results 51 to 60 of about 444,815 (174)
Some Identities on Bernoulli and Euler Numbers
Discrete Dynamics in Nature and Society, 2012 Recently, Kim introduced the fermionic p-adic integral on Zp. By using the equations of the fermionic and bosonic p-adic integral on Zp, we give some interesting identities on Bernoulli and Euler numbers.
D. S. Kim, T. Kim, J. Choi, Y. H. Kim
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Advances in Difference Equations, 2020 The main objective of this paper is to obtain a new κ-fractional analogue of Hermite–Hadamard’s inequality using the class of s-convex functions and χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals.
Yu-Ming Chu +4 more
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Generalizations of weighted version of Ostrowski's inequality and some related results
Journal of Inequalities and Applications, 2000 We establish some new weighted integral identities and use them to prove a number of inequalities of Ostrowski type. Among other results, we generalize one result related to the weighted version of the Ostrowski's inequality of Pečarić and ...
Pečarić J +2 more
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, 2017 The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
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A Note on Type 2 w-Daehee Polynomials
Mathematics, 2019 In the paper, by virtue of the p-adic invariant integral on Z p , the authors consider a type 2 w-Daehee polynomials and present some properties and identities of these polynomials related with well-known special polynomials.
Minyoung Ma, Dongkyu Lim
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An Integral Identity for the Rademacher Functions
Journal of Mathematical Analysis and Applications, 1995 Denote by \(r_j(t)\) the well-known Rademacher functions with the kernel \[ K_n(s, t):= \sum^n_{j= 1} r_j(s) r_j(t),\quad 0\leq s, t\leq 1\quad\text{and}\quad n= 1, 2,\dots\;. \] The author proves the identity \[ \int^1_0 r_{j_1}(s)\cdots r_{j_m}(s)\;F(K_n(s, t)) ds= C^{m, n}_F r_{j_1}(t)\cdots r_{j_m}(t), \] where \(0\leq m\leq n\), \(1\leq ...
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On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order
Advances in Difference Equations, 2009 The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp.
Taekyun Kim +2 more
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Boundary Value ProblemsThis article introduces novel integral identities and results, with a particular focus on strongly Φ-convex functions and their associated inequalities. By leveraging Riemann-Liouville (RL) fractional integral operators, we first define strongly Φ-convex
Muhammad Sadaqat Talha +3 more
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Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
Abstract and Applied Analysis, 2009 By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship ...
Taekyun Kim, Seog-Hoon Rim, Byungje Lee
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MathematicsIntegral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan +3 more
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