Integral Inequalities and Generalized Convexity (PDF)

Shashi Kant Mishra Ph.D., D.Sc. is Professor at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India, with over 24 years of teaching experience. He has authored eight books, including textbooks and monographs, and has been on the editorial boards of several important international journals. He has guest edited special issues of the Journal of Global Optimization; Optimization Letters (both Springer Nature) and Optimization (Taylor & Francis). He has received INSA Teacher Award 2020 from Indian National Science Academy, New Delhi and DST Fast Track Fellow 2001 from Ministry of Science and Technology, Government of India. Prof. Mishra has published over 203 research articles in reputed international journals and supervised 21 Ph.D. students. He has visited around 15 institutes/ universities in countries such as France, Canada, Italy, Spain, Japan, Taiwan, China, Singapore, Vietnam, and Kuwait. His current research interest includes mathematical programming with equilibrium, vanishing and switching constraints, invexity, multiobjective optimization, nonlinear programming, linear programming, variational inequalities, generalized convexity, integral inequalities, global optimization, nonsmooth analysis, convex optimization, nonlinear optimization, and numerical optimization.

Nidhi Sharma is Fellow of the Council of Scientific Industrial Research (CSIR) at the Department of Mathematics, Institute of Science, Varanasi, India. She received the M.Sc. degree in Mathematics from Banaras Hindu University, Varanasi, India. She is working on generalized convexity and integral inequalities under the supervision of Prof. S. K. Mishra. Her current research interests include integral inequalities, generalized convexities, set valued functions, and stochastic process.

Jaya Bisht is DST INSPIRE Fellow (Senior Research Fellow) at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India.