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  1. No Access

    Article

    Metric convolution and frames

    The fractal convolution of two map**s is a binary operation in some space of functions. In previous papers we extracted the main properties of this association and defined a new type of inner operations in m...

    R. Pasupathi, M. A. Navascués, A. K. B. Chand in Periodica Mathematica Hungarica (2024)

  2. No Access

    Article

    A pair of Mond–Weir type third order symmetric duality

    In this framework, a pair of Mond–Weir type third order symmetric nonlinear programming problems are introduced. Appropriate duality theorems are established for the newly formulated third order symmetric dual...

    G. Biswal, N. Behera, R. N. Mohapatra in Journal of Applied Mathematics and Computi… (2023)

  3. No Access

    Article

    New fractal functions on the sphere

    In this article, a family of continuous functions on the unit sphere \(S\subseteq {\mathbb {R}}^{3}\) ...

    Md. Nasim Akhtar, M. Guru Prem Prasad in The European Physical Journal Special Topi… (2021)

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    Chapter and Conference Paper

    Perturbativity Constraints on \(U(1)_{B-L}\) and Left-Right Models

    We  theoretical perturbative constraints on with extended gauge sectors, whose generators contribute to the electric charge. We also constrain gauge couplings by imposing the condition for them to be pertur...

    Garv Chauhan, P. S. Bhupal Dev, R. N. Mohapatra in XXIII DAE High Energy Physics Symposium (2021)

  5. No Access

    Chapter

    Degree of Convergence of Some Operators Associated with Hardy-Littlewood Series for Functions of Class Lip(α, p), p > 1

    In this article, we study the degree of convergence of Euler, Borel, and (e, c) transforms of the Fourier series of functions of class Lip(α, p), for p > 1. When p tends to infinity, the results yield known resul...

    Manish Kumar, Benjamin A. Landon, R. N. Mohapatra in Harmonic Analysis and Applications (2021)

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    Chapter and Conference Paper

    A Class of Variational-Like Inequalities in Banach Spaces

    In this paper, we find some properties of generalized relaxed \(\eta - \alpha \) η ...

    R. N. Mohapatra, Bijaya Kumar Sahu, Sabyasachi Pani in Mathematical Analysis and Computing (2021)

  7. No Access

    Article

    Weighted Moore–Penrose inverses of arbitrary-order tensors

    Within the field of multilinear algebra, inverses and generalized inverses of tensors based on the Einstein product have been investigated over the past few years. The notion of the weighted Moore–Penrose inve...

    Ratikanta Behera, Sandip Maji, R. N. Mohapatra in Computational and Applied Mathematics (2020)

  8. Article

    Open Access

    Wavelet approximation of a function using Chebyshev wavelets

    In this paper, we estimate the best wavelet approximations of a function f having bounded second derivatives and bounded higher-order derivatives using Chebyshev wavelets of third and fourth kinds.

    H. K. Nigam, R. N. Mohapatra, K. Murari in Journal of Inequalities and Applications (2020)

  9. No Access

    Article

    A Branch–Bound Cut Technique for Non-linear Fractional Multi-objective Optimization Problems

    This article establishes a branch–bound technique to solve nonlinear convex–convex fractional multi-objective optimization problem in the non-convex feasible region. As far as the authors are concerned, this k...

    Pitam Singh, Deepika Agarwal, Deepak Bhati in International Journal of Applied and Compu… (2020)

  10. No Access

    Chapter

    Variational Inequalities in Semi-inner Product Spaces

    Variational Inequalities play an important role in solving many outstanding problems ranging from Mechanics, Physics, Engineering, and Economics. The work of the Italian and French mathematicians laid a solid ...

    Nabin K. Sahu, Ouayl Chadli, R. N. Mohapatra in Computational Mathematics and Variational … (2020)

  11. Article

    Open Access

    FCC-hh: The Hadron Collider

    In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC ...

    A. Abada, M. Abbrescia, S. S. AbdusSalam in The European Physical Journal Special Topi… (2019)

  12. Article

    Open Access

    HE-LHC: The High-Energy Large Hadron Collider

    In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC ...

    A. Abada, M. Abbrescia, S. S. AbdusSalam in The European Physical Journal Special Topi… (2019)

  13. Article

    Open Access

    FCC Physics Opportunities

    We review the physics opportunities of the Future Circular Collider, covering its e+e-, pp, ep and heavy ion programmes. We describe the measurement capabilities of each FCC component, addressing the study of ele...

    A. Abada, M. Abbrescia, S. S. AbdusSalam, I. Abdyukhanov in The European Physical Journal C (2019)

  14. Article

    Open Access

    FCC-ee: The Lepton Collider

    In response to the 2013 Update of the European Strategy for Particle Physics, the Future Circular Collider (FCC) study was launched, as an international collaboration hosted by CERN. This study covers a highe...

    A. Abada, M. Abbrescia, S. S. AbdusSalam in The European Physical Journal Special Topi… (2019)

  15. No Access

    Article

    A new RGB image encryption using generalized Vigenére-type table over symmetric group associated with virtual planet domain

    The primary aim of this paper is to provide an efficient encryption algorithm for RGB images. A new, fast, and secure RGB image encryption algorithm using generalized Vigenére table over the symmetric group ...

    Manish Kumar, R. N. Mohapatra, Sajal Agarwal in Multimedia Tools and Applications (2019)

  16. No Access

    Chapter

    Application of Davies–Petersen Lemma

    In this paper we have shown how use of a simple lemma first proved by Davies and Petersen and later extended by Mohapatra and Russell can be used effectively to prove three main results which can yield integra...

    Manish Kumar, R. N. Mohapatra in Differential and Integral Inequalities (2019)

  17. No Access

    Article

    On Matrix Operators on the Series Space \( {\left|{\overline{N}}_p^{\theta}\right|}_k \)

    In recent years, the space ...

    R. N. Mohapatra, M. A. Sarıgöl in Ukrainian Mathematical Journal (2018)

  18. No Access

    Chapter and Conference Paper

    Semi-frames and Fusion Semi-frames

    This paper is a short survey of the theory of semi-frames and fusion semi-frames in Hilbert and Banach spaces.

    N. K. Sahu, R. N. Mohapatra in Mathematics and Computing (2018)

  19. No Access

    Chapter and Conference Paper

    Existence Results of a Generalized Mixed Exponential Type Vector Variational-Like Inequalities

    In this paper, we introduce a new generalized mixed exponential type vector variational-like inequality problems (GMEVVLIP) and $$\alp...

    N. K. Mahato, R. N. Mohapatra in Mathematics and Computing (2017)

  20. No Access

    Article

    A study of some discrete Dirac equations with principal functions

    Let L denote the operator generated in \({\ell _{2}( \mathbb{N}, \mathbb{C}^{2}) }\) ...

    T. Koprubasi, R. N. Mohapatra in Acta Mathematica Hungarica (2016)

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